need to find volume, step by step explanation pls



Need To Find Volume, Step By Step Explanation Pls

Answers

Answer 1

Given:

A figure of combination of hemisphere, cylinder and cone.

Radius of hemisphere, cylinder and cone = 6 units.

Height of cylinder = 12 units

Slant height of cone = 10 units.

To find:

The volume of the given figure.

Solution:

Volume of hemisphere is:

[tex]V_1=\dfrac{2}{3}\pi r^3[/tex]

Where, r is the radius of the hemisphere.

[tex]V_1=\dfrac{2}{3}(3.14)(6)^3[/tex]

[tex]V_1=\dfrac{6.28}{3}(216)[/tex]

[tex]V_1=452.16[/tex]

Volume of cylinder is:

[tex]V_2=\pi r^2h[/tex]

Where, r is the radius of the cylinder and h is the height of the cylinder.

[tex]V_2=(3.14)(6)^2(12)[/tex]

[tex]V_2=(3.14)(36)(12)[/tex]

[tex]V_2=1356.48[/tex]

We know that,

[tex]l^2=r^2+h^2[/tex]                               [Pythagoras theorem]

Where, l is length, r is the radius and h is the height of the cone.

[tex](10)^2=(6)^2+h^2[/tex]

[tex]100-36=h^2[/tex]

[tex]\sqrt{64}=h[/tex]

[tex]8=h[/tex]

Volume of cone is:

[tex]V_3=\dfrac{1}{3}\pi r^2h[/tex]

Where, r is the radius of the cone and h is the height of the cone.

[tex]V_3=\dfrac{1}{3}(3.14)(6)^2(8)[/tex]

[tex]V_3=\dfrac{25.12}{3}(36)[/tex]

[tex]V_3=301.44[/tex]

Now, the volume of the combined figure is:

[tex]V=V_1+V_2+V_3[/tex]

[tex]V=452.16+1356.48+301.44[/tex]

[tex]V=2110.08[/tex]

Therefore, the volume of the given figure is 2110.08 cubic units.


Related Questions

What are the factors of x2 – 100?

Answers

Answer:

(x - 10)(x + 10)

Step-by-step explanation:

x² - 100 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

x² - 100

= x² - 10²

= (x - 10)(x + 10)

Without multiplying, determine the sign of the product (−247,634) × (183,758).

Answers

the sign will be a negative sign -

Answer:

IN a series of multiplications (or divisions)

add up the negative signs ... if they are even the answer is positive "+"

the there is an odd number the answer will be negative "-"

Step-by-step explanation:

they have 46 row in a theater. there are 42 seats and 50 seats empty calculate how many person was watching the show.​

Answers

Answer:

8 people watched the show

Step-by-step explanation:

50 - 42 = 8

Triangle N P O is shown. Line O N extends through point M to form exterior angle P N M. Angle N P O is 38 degrees. Angle P O N is 39 degrees. Exterior angle P N M is x degrees.
Which statement about the value of x is true?

x > 38
x < 39
x < 77
x > 103

Answers

Answer:

77

Step-by-step explanation:

i took the test

Answer:

c

Step-by-step explanation:

if the radius is 91cm what would be the diameter and circumference?​

Answers

Answer:

C=3.14*91

D=91*2

C=285.74

D=182

Hope This Helps!!!

HELP FAST

1. Find the missing angle measurements.
2. Describe how you found the missing angle measurements.
3. List all angle relationships.
4. Identify which angle relationships are Supplementary or Equal.

Answers

Answer:

Angle 1: 145 degrees

Angle 2: 35 degrees

Angle 3: 145 degrees

Angle 4: 35 degrees

Angle 5: 145 degrees

Angle 6: 35 degrees

Angle 7: 145 degrees

Angle 8: 35 degrees

Step-by-step explanation:

1) See above.

2) Angles 4 and 2 are equal, because they are vertical angles (share a vertex) where two parallel lines are cut by a transversal (line c?)

Angles 1 and 2 equal 180 degrees when added together, so 180 - 35 = 145, which is the measure of angle 1.

Angles 1 and 3 are also vertical, and therefore equal.

When two or more lines are cut by a transversal, the angles that are in the same relative position are corresponding angles.

When the lines are parallel, the corresponding angles are congruent.

Congruent angles are equal. So Angle 1 = Angle 5 and Angle 2 = Angle 6. Then the rules for vertical angles apply again, giving you the measures for angles 7 and 8.

3) 1 and 3 are vertical, 2 and 4 are vertical, 5 and 7 are vertical, 6 and 8 are vertical.

1 and 5 are corresponding, 2 and 6 are corresponding, 3 and 7 are corresponding, 4 and 8 are corresponding.

4) 1 and 2, 3 and 4, 5 and 6, 7 and 8 are all supplementary pairs.

1 and 4, 2 and 3, 5 and 8, and 6 and 7 are supplementary pairs.

1 and 3, 2 and 4, 5 and 7, 6 and 8 are equal pairs because they are vertical.

1 and 5, 2 and 6, 3 and 7, 4 and 8 are equal pairs because they are corresponding.

Hopefully this covers all they wanted.

Find the value of x

Answers

Answer:

x=1

Step-by-step explanation:

7x-1+2x-1=7

7x+2x-1-1=7

9x-2=7

9x=7+2

9x=9

9x/9=9/9

x=1

what's the explicit formula for 5,10,15,20,25,30

Answers

Answer:

[tex]a_{n}[/tex] = 5n

Step-by-step explanation:

There is a common difference d between consecutive terms

d = 10 - 5 = 15 - 10 = 20 - 15 = 25 - 20 = 30 - 25 = 5

This indicates the sequence is arithmetic with explicit formula

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 5 and d = 5 , then

[tex]a_{n}[/tex] = 5 + 5(n - 1) = 5 + 5n - 5 = 5n

A large water bottle holds 25 litres of water correct to the nearest liter. A drinking glass holds 0.3 litres correct to the nearest 0.1 litres Calculate the lower bound for the number of glasses of water which can be filled from the bottle

Answers

This question is solved using rounding and proportion concepts.

Using this, we find that: the lower bound for the number of glasses of water which can be filled from the bottle is 100.

A drinking glass holds 0.3 litres correct to the nearest 0.1 litres

This means that, with 2 decimal places, the drinking glass holds between 0.25 litres and 0.34 litres.

-------------------------------------

Calculate the lower bound for the number of glasses of water which can be filled from the bottle

For the lower bound, we consider that 1 glass holds 0.25 litres, and want to find how many glasses are needed for 25 litres. So

1 glass - 0.25 litres

x glasses  - 25 litres

Applying cross multiplication:

[tex]0.25x = 25[/tex]

[tex]x = \frac{25}{0.25} = 100[/tex]

Thus, the lower bound for the number of glasses of water which can be filled from the bottle is 100.

A similar question is found at https://brainly.com/question/21369672

what is the proper seperation of factors for this equation ∛24n² × ∛36n²

Answers

Answer:

[tex]{ \tt{ \sqrt[3]{24 {n}^{2} } \times \sqrt[3]{36 {n}^{2} } }} \\ = { \tt{( {n}^{ \frac{2}{3} })( \sqrt[3]{864}) }}[/tex]

PLEASE HELP THANK YOU EVERYBODY

Answers

Answer:

150 in^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Givens

L = 9

W = 4

H = 3

Formula

SA = 2*L*w + 2*L*H + 2 * H * W

Solution

SA = 2 * 9*4 + 2*9*3 + 2*3 * 4

SA = 72 + 54 + 24

SA = 150 in^2

Justin was asked to write equations based on the triangle below. So far he has come up with the following equations: Which of the following would be another correct equation?

Answers

Answer:

C: tan 60 = √3

Step-by-step explanation:

Let the adjacent part of the triangle be x and let the opposite side be y.

Thus, from trigonometric ratios;

x/10 = cos 60

We are given cos 60 = ½

Thus;

x/10 = ½

x = ½ × 10

x = 5

Similarly;

y/10 = sin 60

Now,from trigonometric relationship we know that; sin 60 = cos 30. Thus;

y/10 = cos 30

We are given cos 30 = (√3)/2

Thus;

y/10 = (√3)/2

y = 10 × (√3)/2

y = 5√3

Since it is a right angle triangle with one angle being 60°, it means the other one is 30° since sum of angles in a triangle is 180°.

Thus;

5/(5√3) = tan 30°

1/√3 = tan 30

Similarly;

5/10 = sin 60°

sin 60° = ½

Also;

tan 60 = (5√3)/5

tan 60 = √3

Also;

sin 30 = 5/10

sin 30 = ½

Looking at the options, the only correct one is Option C

C. Identify the following as a constant, linear, or absolute value
function and tell the shape of each.



Answers

Answer:

here is the answer bae. Feel free to ask for more

Answer:

5. Is linear

6. absolute value function

Step-by-step explanation:

MAGALI COMPRAR 15 CHOCOLATES A $0,75 CADA UNA , Y 13 PAQUETES DE GALLETAS A $ 1,25 CADA UNO ¿CUANTO DEBBE PAGAR?

Answers

Answer:

The total amount paid is $ 27.5.

Step-by-step explanation:

MAGALI BUY 15 CHOCOLATES AT $ 0.75 EACH ONE, AND 13 PACKAGES OF COOKIES AT $ 1.25 EACH, HOW MUCH SHOULD I PAY?

Number of chocolates = 15

Cost of a chocolate = $ 0.75

Packet of cookies = 13

cost of one packet of cookie = $ 1.25

The total amount paid is

= 15 x $ 0.75 + 13 x $ 1.25

= $ 11.25 + $ 16.25

= $ 27.5

Josh graphed the function f(x)=-3(x-1)^2 +2. He then graphed the function g(x)=-3(x-1)2 -5 on the same coordinate plane. The vertex of g(x) is​

Answers

Answer:

the graph of f(x) is {5 - (-2)) units, or 7 units, higher than that of g(x)

Step-by-step explanation:

The vertex form of a quadratic equation is y = a(x - h)^2 + k.  (h, k) represents the vertex.

Comparing the given f(x) = -3(x-1)^2 to the above general form, we see that h = 1 and k = 2.

Comparing the given g(x) = -3(x-1)^2 to the above general form, we see that h = 1 and k = -5.  

Thus, the x-coordinates of the vertex in both cases are the same:  1.  The y-coordinates differ:  for f(x), k = 2. and for g(x), k = -5.

Changing the k value translates the graph up or down.

In this case we see that the graph of f(x) is {5 - (-2)) units, or 7 units, higher than that of g(x).

son las partes de las que se compone el reporte de la encuesta:
A)lnicio, desarrollo y fin.
B) lntroduccion, desarrollo y conclusiones.
C ) Entrada,cuerpo y cierre
D )Ninguno de los anteriores ​

Answers

Answer:

Na dimio reso

Ta pidi yo

Era olvida yo contigo

Step-by-step explanation:

there's no explanation

A cylinder that is 4 high and 12 across. what's the volume?
Help please

Answers

Answer:

The correct ans is in the picture

Step-by-step explanation:

Don't worry it is 100% correct!

V = pi x r^2 x h
r = 12 / 2 = 6
h = 4

V = pi x 6 x 6 x 4 = 452.389 cubic units

Convert 3.5 ⋅ 104 to standard form.

Answers

Answer:

In standard notation [tex]3.5 \times 10^4 = 35000[/tex]

In scientific notation, we write a number so that it has single digit to the left of decimal sign and is multiplied by an integer power of 10.

----------------

If it was 3.5 x 104 it would equal 350.

express 3432 as a product of its prime factors

Answers

Answer:

2³ × 3 × 11 × 13

Step-by-step explanation:

By prime factorisation,

→ 3432 = 2 × 2 × 2 × 3 × 11 × 13

3432 = 2³ × 3 × 11 × 13

2^3x11x3x24 I believe that is the answer

In triangle RST, angle R is a right angle. If TR = 6 and TS = 8, what is the length of RS

Answers

Answer:

RS = 2[tex]\sqrt{7}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

RS² + RT² = TS² , that is

RS² + 6² = 8²

RS² + 36 = 64 ( subtract 36 from both sides )

RS² = 28 ( take the square root of both sides )

RS = [tex]\sqrt{28}[/tex] = [tex]\sqrt{4(7)}[/tex] = 2[tex]\sqrt{7}[/tex] ≈ 5.3 ( to 1 dec. place )

How much longer is path c than path d?

Answers

Answer:

1000

Step-by-step explanation:

the math

1850=12

2918=20

5044 = ?

7573=56​

Answers

Answer:

1623 jajaggkcgaiahvs Kah kaye kaha

PLEASE SOLVE what is area of kite

Answers

Answer:

[tex]{ \tt{area = {area \: of \: 4 \: triangles}}} \\ area = \frac{1}{2} \times base \times height \\ \\ { \bf{area = 2(\frac{1}{2} (0.75 \times 1)) + 2( \frac{1}{2} \times 0.75 \times (3 - 1))}} \\ area = 0.75 + 1.5 \\ { \tt{area = 2.25 \: {ft}^{2} }} \\ \\ { \underline{ \blue{ \tt{becker \: jnr}}}}[/tex]

Area of a kite = 1/2 xy
= 1/2 x 3 x 1.5
= 2.25ft

Hopefully that’s correct

the force which pulls or tends to pull a body is called____​

Answers

Answer:

force of gravity

hope it helps

pls mark me as the brainliest

thank u

Answer:

pulling force

Step-by-step explanation:

There is no special name for that.

Physics is usually just concerned with "forces", and doesn't specify whether the force pushes or pulls.

If you want to be more specific, you can just call it a "pulling force".

I hoped this was satisfying!

perimeter: ______ cm
area: _______ cm squared

Answers

Answer:

perimeter: 29 cm

Area: 49.5 cm^2

Step-by-step explanation:

perimeter is 9.5 + 6 + 7 + 6.5 = 29

Area: 7 * 6 = 42

9.5 - 7 = 2.5

2.5 * 6 = 15

15/2 = 7.5

42 + 7.5 = 49.5

Find the surface area of a cylinder with a height of 9 ft and a base diameter of 8 ft.
Use the value 3.14 for n, and do not do any rounding.
Be sure to include the correct unit.

Answers

Answer:

326.56 square feet

Step-by-step explanation:

Surface area of a cylinder = 2πrh + 2πr²

Radius = Diameter/2

= 8 ft/2

= 4 ft

Height = 9 ft

Surface area of a cylinder = 2πrh + 2πr²

= (2 * 3.14 * 4 * 9) + (2 * 3.14 * 4²)

= 226.08 + 100.48

= 326.56 square feet

Surface area of a cylinder = 326.56 square feet

find the value of (1) sin 60°+cis 30°/ tan 30°*tan 60°​

Answers

Answer:

sin60°+cos30/tan30*tan60

1/2+√3/2/1

1+√3/2

Please answer this correctly .

Answers

Answer:

Ummm We Know A triangle Degrees Is ( in total) 180*

SO If 30* is one side then it's 30* - 180 = 150 split that and you have 125 and 125 for the last 2 side hope it helps

平和

What is the answer of

Answers

Step-by-step explanation:

here is the answer babe. Feel free to ask for more

Answer:  - 1.

Step-by-step explanation:

[tex]\frac{\dfrac{x+y}{x-y} }{\dfrac{y+x}{y-x} } =\dfrac{x+y}{x-y} \div \dfrac{y+x}{y-x}\\\\{\: \: \: \: \: \: \: \: \: \: \: \: \: } = \dfrac{x+y}{x-y} \times \dfrac{y-x}{y+x}\\\\{\: \: \: \: \: \: \: \: \: \: \: \: \: } = \dfrac{x+y}{x-y} \times \dfrac{-(x-y)}{x+y}\\\\{\: \: \: \: \: \: \: \: \: \: \: \: \: } = \dfrac{-(x+y)(x-y)}{(x-y)(x+y)} \\\\{\: \: \: \: \: \: \: \: \: \: \: \: \: } = -1[/tex]

а
The radius
of
a circle is 10cm and
the length of a chord is 12 cm.
Then , calculate the distance between
the chord and centre of
a circle

Answers

Step-by-step explanation:

by referring to the diagram,

a = 8

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