A cylinder has a volume of 78cm3 What is the volume of a cone with the same radius and height?
Answers
Answer:Volume of cylinder V= bh= 78 cm^3,
where b is area of base(circle). Then volume of cone = 1/3bh =1/3*78 = 26 cm^3Upvote•0Downvote Add comment
Answer :D
The volume of the cone is [tex]26^{}[/tex] [tex]cm^{3}[/tex]
Question explanation:
Okay, so, we know that.
The volume of a cylinder is equal to:
[tex]V^{}[/tex] [tex]=[/tex] [tex]\pi[/tex][tex]r^{2}[/tex][tex]h[/tex]
In this problem, we have that:
[tex]V[/tex] [tex]=[/tex] [tex]78[/tex] [tex]cm^{3}[/tex]
So:
[tex]78 =[/tex] [tex]\pi[/tex][tex]r^{2}[/tex] [tex]h[/tex] [tex]=[/tex] [tex]equation[/tex] [tex]A[/tex]
The volume of a cone with the same radius and height is equal to
[tex]V =[/tex] [tex]\frac{1}{3}[/tex] [tex](\pi r^{2} h)[/tex] [tex]= equation[/tex] [tex]B[/tex]
Substitute equation A in equation B
[tex]V = \frac{1}{3} (78)[/tex]
[tex]V = 26^{}[/tex] [tex]cm^{3}[/tex]
Sorry if this answer is incorrect - Answered by Lilo
Related Questions
Find the value of x in each case:
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Answer:
12x
Step-by-step explanation:
Subtract the rational expression
Please show steps
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Answer:
1/(x -2)
Step-by-step explanation:
You want the simplified form of the rational expression ...
[tex]\dfrac{1}{x-4}-\dfrac{2}{x^2-6x+8}[/tex]
SimplificationWe simplify this by combining terms over a common denominator, then cancelling any common factors from numerator and denominator.
[tex]\dfrac{1}{x-4}-\dfrac{2}{x^2-6x+8} = \dfrac{(x-2)}{(x-4)(x-2)}-\dfrac{2}{(x-4)(x-2)}\\\\\\=\dfrac{(x-2)-2}{(x-4)(x-2)}=\dfrac{x-4}{(x-4)(x-2)}=\boxed{\dfrac{1}{x-2}}[/tex]
Note that the domain still excludes x=4, in addition to the obvious exclusion of x=2.
<95141404393>
Please help quick!
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I can't quite read it.
Step-by-step explanation:
Subtract the rational expression
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Answer: [tex]-x^2-3x+46/x^2+4x-32[/tex]
Step-by-step explanation:
Answer:
[tex]\dfrac{-x^2-3x+46}{x^2+4x-32}[/tex]
Step-by-step explanation:
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[tex]\dfrac{6}{x^2+4x-32}-\dfrac{x-5}{x-4}=\dfrac{6}{(x-4)(x+8)}-\dfrac{(x-5)(x+8)}{(x-4)(x+8)}\\\\\\=\dfrac{6-(x-5)(x+8)}{(x-4)(x+8)}=\dfrac{6-(x^2+3x-40)}{(x-4)(x+8)}=\boxed{\dfrac{-x^2-3x+46}{x^2+4x-32}}[/tex]
__
Additional comment
The process is fundamentally identical to finding the difference of numerical fractions. The least common denominator is found by considering factors of the denominators, just as it would be if they were pure numbers.
<95141404393>
What statement describes how water is involved in weathering a rock?
It increases the volume of the rock.
It makes the edges of the rock jagged.
It makes the edges of the rock smooth.
It moves the rock to a new location.
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What is the interquartile range of this data?
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Answer:
I thank it is 7
Step-by-step explanation:
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Could you please help me with either question for part c?
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The time it takes for a pendulum of a grandfather clock to swing back and forth one time is called the period of the pendulum. For a pendulum of length L (in feet), the period T (in seconds) is given by the equation T = 1.57 x Square root of L/2 . What is the period (in seconds) of a pendulum that is 8 feet long? Type the exact answer. Do not label seconds in your answer.
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Answer:
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Step-by-step explanation:
A car can travel 476 miles on 14 gallons of gas. How far can the car travel on 20 gallons of gas?
Answers
Answer:
680 Miles
Step-by-step explanation:
You divide 14 into 476 so you can get the answer for one gallon of gas is however many miles. In this case 1g=34ml. Then you multiply 34 and 20 and you get 680 miles.
53 + 47 = 100 : simples?
Answers
53 + 47 = 100
53 + 47 = 100
53 + 47 = 100
53 + 47 = 100
53 + 47 = 100
53 + 47 = 100
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Applying Pythagorean Theorem
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he tables show the numbers of white and yellow flowers Cara and Hector used in 5 different arrangements.
Cara’s Flower Arrangements
White 3 6 9 12 15
Yellow 5 10 15 20 25
Hector’s Flower Arrangements
White 4 8 12 16 20
Yellow 6 10 14 18 22
Part A
Are the numbers of white and yellow flowers in Cara’s arrangements proportional?
Which equation relates the number of white flowers, w, to the number of yellow flowers, y?
Yes; y=35w
Yes; y=53w
No; y=3w+5w
No; y=5+3w
Part B
Are the numbers of white and yellow flowers in Hector’s arrangements proportional?
Which equation relates the number of white flowers, h, to the number of yellow flowers, e?
Yes; e=32h
Yes; e=23h
No; e=h+2
No; e=h−2
Answers
Answer:
A.
1. no, y = 5 + 3w
B.
no, e = h + 2
Step-by-step explanation:
Using the principle of proportional relationship to model the two tables, we can infer that, the first first table is proportional while the second isn't.
Clara's arrangement :
White (w)Yellow (y)Testing if relationship is proportional :
y = kw5 = 3k
[tex] k = \frac{5}{3}[/tex]
Yes, the relationship is proportional [tex] y = \frac{5}{3}w[/tex]
Hector's arrangement :
White (h)Yellow (e)The number of yellow flowers surpasses the number of white flowers by a constant value of 2.
Hence, the relationship can be modeled thus ;
e = h + 2Therefore, the relationship is not proportional.
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Carolyn bought a new shirt for $4.70 and a pair of socks for $1.35. How much money did Carolyn spend in total?
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Answers
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Explanation:
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Answers
Answer: -7.45
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Answers
Select all expressions that are equivalent to 5x - 15 - 20x + 10.
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B. 5x + -15 + -20x + 10
C. 5 ( x-3 - 4x + 2 )
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E. -15x - 5
F. -5 ( 3x + 1 )
Answers
[MA]:
-5 (3 x + 1)
The explanation:
Simplify:
(5 x - 20) + (10 - 15)
Grouping like terms, 5 x - 20 x - 15 + 10 = (5 x - 20 x) + (10 - 15):
(5 x - 20 x) + (10 - 15)
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10 - 15 = -5:
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Factor: -5 out of -15 x - 5:
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[Artsy}
1. The scores from a statistics test were
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and
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Answers
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Answers
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[tex]\frac{4x-6}{4x+7}[/tex]
Step-by-step explanation:
since both have the same denominator
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Answers
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-0.40909090909
Step-by-step explanation:
it is not not terminating or repeating so, it is not a rational number.
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7.25
Cake
Chocolate (whole)
6.00
Cookies
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4.75
Cookies
Oatmeal (1 dozen)
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Pie
Pumpkin (whole)
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Cookies
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In the space below, explain how the Table Tools can be accessed.
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Answers
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Step-by-step explanation:
15% of 8
15x8/100
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Answer:
7,000 ÷ 10 = 700
Step-by-step explanation:
i hope this helps you. good luck and have a great day :)
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A
Step-by-step explanation:
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this isnt math (i think)
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An experiment involves rolling a die and drawing a card from a standard deck of 52 cards.
What is the probability that the die lands on 4 and the card is a heart?
Answers
Answer:
1/24
Step-by-step explanation:
chance of rolling 4 - 1/6
Chance of pulling a heart - 13/52, or 1/4
To find P(roll a 4, and pull a heart) you must multiply the 2 answers to find your final answer. So, 1/4 x 1/6 = 1/24
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Have a great day :)