Question

In a museum there is a sculpture in the shape of a cylinder the cylinder has a diameter of 12 feet and a height of h feet which equation can be used to find v the volume of the cylinder in cubic feet

Answer 1

36πh cubic feet

Explanation:

To find the volume of a cylinder with a diameter of 12 feet and a height of h feet, we must know the formula for finding the volume of a cylinder.

The volume V of a cylinder with a radius r and a height h is given as

V = πR^2h

where π = 22/7

Given that the radius of the given cylinder is 12 feet, the radius r

= 12/2 feet

= 6 feet

The volume v

= π * 6^2 * h

= 36πh cubic feet

Answer 2

`V=36 \pi h\ ft^(3)`

Explanation:

we know that

The volume of a cylinder (sculpture) is equal to

`V=\pi r^(2)H`

In this problem we have

`r=12/2=6\ ft` ----> the radius is half the diameter

`H=h\ ft`

substitute the values

`V=\pi (6^(2))(h)=36 \pi h\ ft^(3)`