Part A: Jan INCORRECTLY
finds the surface area of the
cone using the following
work. Explain Jan's error
and find the
correct volume AND
surface area of the cone.
Answers
The volume of the cone is 2786.2 cubic meters and the surface area of the cone is 1229.51 square meters.
Given the height (h) of a cone as 22 m and the diameter (d) of its circular base as 22 m, we can find the radius (r) of the circular base using the formula:
r = d/2 = 22/2 = 11 m
Here, Jan made a mistake in the work of the surface area of the cone because she used the wrong value of slant height (l=22) in the calculation.
The volume (V) of a cone is given by the formula:
V = (1/3)πr²h
Substituting the values of r and h, we get:
V = (1/3)π(11)²(22)
V = 2786.2 cubic meters
The surface area (A) of a cone is given by the formula:
A = πr(r + l)
here l is the slant height of the cone, which can be found using the Pythagorean theorem:
l = √(r² + h²)
l = √(11² + 22²)
l = √(605)
l = 24.6
Substituting the values of r and l, we get:
A = π(11)(11 + 24.6)
A ≈ 1229.51 square meters
Therefore, the volume of the cone is 2786.2 cubic meters and the surface area of the cone is 1229.51 square meters.
Learn more about the volume of the cone here:
brainly.com/question/1578538
#SPJ1
Related Questions
how do u do this
ahahahehhehehe
Answers
Answer and Step-by-step explanation:
Angle 1 and angle 2 combined equals 180.
So, to find angle 1, we subtract angle 2 from 180.
180 - 57 = 123
m∠1 = 123°
#teamtrees #WAP (Water And Plant)
Answer:
answer is 127 try it and ark me as brainliest
Step-by-step explanation:
180-57
123degrees
how many four-character alpha-numeric codes are possible if repeated characters are not allowed?
Answers
Answer:
1,413,720
Step-by-step explanation:
Total number of characters = letters + numbers
= 26 + 10
= 36.
So total number of possible codes
= 36P4
= 36!/ (36-4)!
= 36*35*34*33
= 1413720
Consider the game of rock-paper-scissors to be an experiment. In the long run, roommate A chooses rock 21% of the time, and roommate B chooses rock 61% of the time; roommate A selects paper 39% of the time, and roommate B selects paper 21% of the time; roommate A chooses scissors 40% of the time, and roommate B chooses scissors 18% of the time. (These choices are made randomly and independently of each other.) The probabilities were assigned using the . Define event A as the event that roommate A wins the game and thus does not have to wash the dishes.
Answers
Answer:
0.3597 = 35.97% probability that roommate A wins the game and thus does not have to wash the dishes.
Step-by-step explanation:
Independent events:
If two events are independent, the probability of both happening is the multiplication of their probabilities.
Rock-paper-scissors rules:
A player that choose rocks beats one who chooses scissors.
A player that choose paper beats one who chooses rocks.
A player that choose scissors beats one who chooses paper.
Probability that roommate A wins the game and thus does not have to wash the dishes.
3 possible events:
Roommate A - Rocks(21% of the time) and Roommate B - Scissors(18% of the time)
So
[tex]p_R = 0.21*0.18 = 0.0378[/tex]
Roommate A - Paper(39% of the time) and Roommate B - Rocks(61% of the time).
So
[tex]p_P = 0.39*0.61 = 0.2379[/tex]
Roommate A - Scissors(40% of the time) and Roommate B - Paper(21% of the time).
So
[tex]p_S = 0.4*0.21 = 0.084[/tex]
Probability of roommate A winning:
[tex]p = p_R + p_P + p_S = 0.0378 + 0.2379 + 0.084 = 0.3597[/tex]
0.3597 = 35.97% probability that roommate A wins the game and thus does not have to wash the dishes.
A cone has a radius of 3 units and a height of 4 units.
1. What is this volume of this cone?
2. Another cone has quadruple the radius, and the same height. How many times larger is the new cone’s volume?
Answers
Answer:
1. V = 37.7
2. V =603.19
Step-by-step explanation:
1. V = (3.14)×3^2 4/3
V =37.7
2. V=(3.14)×(3×4)^2 4/3
V = (3.14)×12^2 4/3
V = 603.19
What is 50x60? Explain
Answers
Answer:
3000
Step-by-step explanation:
50 x 60 = 3000, because
5 x 6 = 30
then you add the 2 zeros making,
3000
Answer:
3000
Step-by-step explanation:
if we break it down, 5 x 6=30 but the numbers have zeros so you have to add one to that answer giving you 3000
2. In the figure, is an exterior angle to triangle .
(a) What is the angle measurement of Angle 3. Explain the angle relationship you used.
(b) What is the angle measurement of Angle 4. Explain the angle relationship you used.
(c) What is angle relationship between angles 3 & 4? What is the angle relationship between angles 1, 2, & 3? What do you notice that is similar between the two? What is different?
(d) The combination of which two angles in the triangle equal angle 4? Use your work from Part C to figure out why this is the case, and explain your conclusion.
Answer:
PLZ JUST SHOW YOUR WORK ON A PICE OF PAPER AND PLZ LABLE THEM A, B, C, D IF YOU DO U WILL BR MARKED BRAINLY'S.
Answers
Answer:a
Step-by-step explanation:
⇒ d + e + f = b + a + a + c + b + c
⇒ d +e + f = 2a + 2b + 2c
= 2(a + b + c)
But, according to triangle angle sum theorem,
a + b + c = 180 degrees
Therefore, ⇒ d +e + f = 2(180°)
= 360°
Answer:
I only know a and b so don't hate me...
Step-by-step explanation:
Part A)
Angle 3 is 103° because 77° + ∠3= 180° and ∠3 = 180° - 77° = 103°
Part B)
Angle 4 is 77° because ∠3 + ∠4 = 180° and ∠4 = 180° - 103° = 77°
Find two consecutive positive integers such that the square of the larger integer is nineteen more than nine times the smaller integer.
Answers
Step-by-step explanation: 2+2=4 +4x8=9
Suppose C1;C2;C3 are three didifferent biased coins, whose probability of heads equals 0.4, 0.5, and 0.2 respectively. Suppose coins are placed together in a box and you randomly picked a coin from the box. Flip the coin 10 times. Let A denote the event you randomly chose coin C1. Let B denote the event that you got exactly 4 heads out of the 10 coin flips.
Compute the following probabilities:
P(A∩B)
P(B)
P(A|B)
Answers
Solution :
[tex]$ P(A \cap B) = P(\text{coin}\ C_1 \text{ chosen and 4 heads in 10 trails})$[/tex]
[tex]$= \frac{1}{3} \times ^{10}C_4 \times 0.4^4 \times 0.6^6$[/tex]
= 0.0836
P(B)= P(coin [tex]$C_1$[/tex] chosen and 4 heads in 10 trails) + P(coin [tex]$C_2$[/tex] chosen and 4 heads in 10 trail) + P(coin [tex]$C_3$[/tex] chosen and 4 heads in 10 trail)
[tex]$=\frac{1}{3}\times ^{10}C_4 \times 0.4^4 \times 0.6^6 + \frac{1}{3}\times ^{10}C_4 \times 0.5^4 \times 0.5^6 + \frac{1}{3}\times ^{10}C_4 \times 0.2^4 \times 0.8^6$[/tex]
[tex]$=0.0836+0.0684+0.0294$[/tex]
[tex]$=0.1813$[/tex]
P(A|B) = [tex]$\frac{P(A \cap B)}{P(B)}$[/tex]
[tex]$=\frac{0.0836}{0.1813}$[/tex]
[tex]$=0.4611$[/tex]
Kenise will begin college as a freshman next fall and has received a 10-year $5,500 Federal Direct Unsubsidized Loan with an interest rate of 6.8%. She will be required to begin making payments six months after graduation. How much interest will accrue while she is still in school and over the six-month grace period? Please round to the nearest dollar. Do not include the dollar sign.
Answers
Answer: $3,927
Step-by-step explanation:
The interest will accrue as a simple interest rate for 10 years and then the grace period of six months.
The total time is therefore: 10.5 years.
Interest for those 10.5 years is:
= Loan amount * No. of periods * interest rate
= 5,500 * 10.5 * 6.8%
= $3,927
find the geometric of 5,8,9,12,15
Answers
Answer:
mom this u?
Step-by-step explanation:
Ulani is constructing a triangle that has sides measuring 12 cm and 28 cm. Which measurements could be the length of the third side? Select two options.
15 cm
24 cm
38 cm
41 cm
53 cm
Answers
Answer:
B and C
Step-by-step explanation:
please help me , i need this like right noww pleaseeeeeeee !!!!!!!!
Answers
Answer: -9
Step-by-step explanation:
KH = x -1 and Eh =2x-12
2x-12 =10-1=9
2. Vernon practiced soccer 5 hours this week. He practiced 4 hours on weekdays and the rest over the weekend.
a. Write an equation that represents the situation. Define your variable.
b. What is the least common multiple of the denominators of 5 and 4 ? Show your work.
c. Solve the equation and interpret the solution. Show your work.
Answers
Answer:
a- Vernon practiced soccer 5 3/4hours this week. He practiced 4 1/3hours on weekdays and the rest over the weekend.
Step-by-step explanation:
Hope this helps
During peak growing season, the kudzu vine can grow 6 inches in 12 hours. What is the growth
rate of kudzu in inches per hour?
А 0.25 inches
B
0.5 inches
С
2.0 inches
D
6.0 inches
Answers
Answer:
b
Step-by-step explanation:
Answer:
The answer is B. 0.5 inches.
help its pre- algebra
Answers
Answer:
bananas: 2480
plantains: 20
Step-by-step explanation:
equations:
b+p=2500
b=124p
just plug then in and solve
Answer:
20 plantains and 2480 bananas
Step-by-step explanation (b is bananas + p is plantains):
2500 = b+p
b=124*p
2500=(124*p)+p
2500=125p (divide by 125)
20=p
b=124(20)
b=2480.
20
please help with question
Answers
Answer:
70
Step-by-step explanation:
180 - (90) - (20)
90 - 20
70
The volume of a cylinder is 84 pie inches cubed what can be concluded about the volume of the con
Answers
Answer:
that it has a radius of (84/(h×pi))^1/3
Please answer for instant brainliest.
Answers
Answer:
5 T-shirts
or
35 T-shirts
Step-by-step explanation:
Alright so this question is a bit tricky but I will explain to you the steps. What you want to do is take every possible answer and multiply it by $15 (The price of an adult t shirt) and see if the answer you get can be added onto with the price of small t shirts ($10).
In other words you need a multiple of $10 as your answer so you can add $10 onto to that number until you get your total of $2,375.
Lets start with 185 t-shirts.
If we do 185 shirts x $15 per shirt we get $2775
That is way above the total of $2,375 so we know that this cant be the answer.
Next we can do 110 t-shirts.
If we do 110 shirts x $15 this time we get $1650.
Now while this is less than the total this is not a multiple of 10.
To prove this lets take the total amount of money earned ($2,375) and subtract this $1650 from it to see how much in youth shirts they sold.
$2,375 - $1650 = $725
Now we can divide $725 by the rest of the $10 youth shirts and you will see we get 72.5 which is not a whole number so it cant be answer. Since you cant sell someone 25% of a shirt or they probably would be upset.
Moving onto 35 t shirts lets take the same steps.
35 x $15 (price of adult t-shirt)
We then get $525 from this. Lets subtract this total again from the grand total earnings they made from selling both shirts ($2,375)
$2,375 - $525 = $1850.
Now this is a multiple of 10. Meaning you can add 10 into it go get that number and you wont have more or less than it. It will be spot on.
So we can do $1850 divided by $10 to find the total amount of youth shirts sold. We get 185 from this, which is a possible answer.
Lets do the last one.
5 t shirts multiplied by $15
We get $75 from this and now lets subtract again from the grand total.
$2,375 - $75 = $2,300
Now this would work too which is what kind of stumps me but we will go with it. Going off this either 5 t-shirts or 35 t-shirts would work as an answer cause you can have an even number of youth shirts sold with either answer. So I could have done something wrong but I believe based off of this either would be correct but I could be missing something. Someone correct me if I made a mistake.
Anyways I hope this helps :)\
EDIT :
I see what I did wrong here and failed to take into account the total of 220 t-shirts sold. But I believe this can help solve the last 2 answers.
Salem Middle School uses 800 pounds of flour each month
making cookies for school lunches. If they buy their flour in
50 pound sacks, how many sacks must they buy each month?
O A. 13
O B. 16
O C. 30
O D. 50
really confused.
Answers
Miguel pays $42.99 per month at Be Fit Gym. Jina pays $215.94 every 6 months at
Main Street Gym. Which gym is more expensive? How much more does membership at
that gym cost each month?
Answers
How much would you need to deposit in an account each month in order to have $40,000 in the account in 8 years? Assume the account earns 3% annual interest compounded monthly.
Answers
Answer:
$166666.67Step-by-step explanation:
$40000 = amount after 8 years time = 8 years interest = 3%principle amount = ?? ( p )$40000 = (( p ) × 3 × 8 )÷100p = (40000 × 100) ÷ ( 3 × 8 )p = $166666.67MARK ME AS BRAINLISTMs. Rathman has 5 nickels, 3 dimes, and 2 quarter. In how many ways can she make change
for 50¢? Make a systematic list to answer this question
Answers
Answer:
I guess 5
Step-by-step explanation:
2 q 0 n 0 d
1 q 1 n 2 d
1 q 3 n 1 d
1 q 5 n 0 d
0 q 3 d 4 n
43,5 multiplicado por 8,6 y que la explicación o la operación venga incluida porfavor
Answers
Answer:
la respuesta correcta es 374.10
what is 48 *3/8 explain
Answers
Answer:
18
Step-by-step explanation:
=(
48
1
)(
3
8
)
=
(48)(3)
(1)(8)
=
144
8
=18
write each of these ratios in its simplest form 15 is to 20
Answers
Answer:
3:4
Step-by-step explanation:
This ratio can be written as 15/20. 15 and 20 are both divisible by 5 so if you simplify this fraction by dividing both numbers by 5 you get 3/4 or 3:4.
Determine the missing card value that will result in a product of -324
-6 3 -9
Answers
Answer:
-2
Step-by-step explanation:
-324 ÷ -6 ÷ 3 ÷ -9 = 162
-324 ÷ 162 = -2
PLEASE solve the question below
Answers
Answer:
42.30 m
Step-by-step explanation:
Let's take the distance between the campsite, AB, to be "x".
Since the two triangles are similar, their corresponding side lengths are proportional. Therefore:
47/x = 82/73.8
Cross multiply
x*82 = 47*73.8
x = (47*73.8)/82
x = 3,468.6/82
x = AB = 42.30 m (nearest hundredth)
The population of a town in 1920 was 3800 people. The town's population decreased linearly, and in 1924 the population was 3640. Find a formula for P , the town's population, in terms of t , the number of years since 1920.
Answers
Answer:
Your answer
P = 1.9 t
Mark it as Brainlist answer. Follow me to get more answer
Step-by-step explanation:
A 26-year-old male buys 100/300/100 liability insurance, collision insurance with a $100 deductible, and comprehensive insurance with a $250 deductible What is his total annual premium? Liability Insurance Type Bodily injury Amount Premium 25/50 $220 50/100 $310 100/300 $450 25 $175 50 $245 100 $375 Property damage Collision & Comprehensive Premiums Deductible Collision Comprehensive $215 $129 $250 $185 $102 $500 $148 $85 $100 Rating Factor a Male 3.0 Female 1.45 Age 17-20 21-24 25-29 1.2 215 1.55 1.0 $1142.00 $1765.45 $1770.10 $1785.25
Answers
Answer: $1770.10
Step-by-step explanation:
Step 1.
450+ 375= 825
Step 2.
825+ 215+ 102= 1142
Step 3.
1142 × 1.55= 1770.1
What’s the value of DCB?
Pls help
Answers
Answer:
78
Step-by-step explanation:
angle ACD + angle DCB = 180 (Angles on straight line)
4x + 2 + 3x + 3 = 180
7x + 5 = 180
7x = 180-5
7x = 175
x = 175 / 7
x = 25
angle DCB = 3x +3 = 3*25 + 3 = 75 +3 = 78