PLEASE HELP ASAPPPP WILL MARK BRAINLIEST AND 5 STARS AND POINTS

1. What is the area of the base of a cylinder with a volume of 240π in³. and a
height of 16 inches?


2. What is the volume of a cone with a height of 27 inches and a radius of 11
inches?


3. What is the volume of a sphere with a radius of 14 cm?

4. The volume of a sphere is 125 π cm³
. What is the radius?

Respuesta :

Answer:

1. 15in^2

2. 3421.19in^3

3. 11494.04cm^3

4. Radius is 3.1

Hope this helps!

Step-by-step explanation:

The area of the base of first cylinder is 47.05 in², volume of a cone is 3421.2 in³, the  volume of a sphere is 11494.04 cm³ and the radius of last sphere is 3.102 cm.

What is of volume of cylinder?

Volume of cylinder is the amount of quantity, which is obtained by it in the 3 dimensional space.

Volume of cylinder can be given as,

V=πr²h

Here, (r) is the radius of the base of the cylinder and (h) is the height of the cylinder.

The area of the base of a cylinder with a volume of 240π in³ and a height of 16 inches has to be find out. The radius of this cylinder is,

V=πr²h

240π=πr²(16)

r=√(240/16)

r=3.87 in

Thus, the surface area of the base is

A=πr²

A=π(3.87)²

A=47.05 in²

The volume of a cone with a height of 27 inches and a radius of 11 inches is,

V=(πr²h)/3

V=(π(11)²(27))/3

V=3421.2 in³

The volume of a sphere with a radius of 14 cm is;

V=(4πr³)/3

V=(4π(14)³)/3

V=11494.04 cm³

The volume of a sphere is 125 π cm³. The radius of it is,

V=(4πr³)/3

125=(4πr³)/3

r=∛(93.75/π)

r=3.102 cm.

Thus, the area of the base of first cylinder is 47.05 in², volume of a cone is 3421.2 in³, the  volume of a sphere is 11494.04 cm³ and the radius of last sphere is 3.102 cm.

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