Question

The volume of clay used to build a cylindrical pillar with a height of 9 centimeters is 324π cubic centimeters. The area of the base of the pillar is π square centimeters. NextReset

Answer 1

the missing number of the area of the base is 36
`\pi` because 324 divided by 9 is 36

Answer 2

Answer:
`36\pi\ m^2`

Explanation:

We know that the volume of cylinder is given by :-

`\text{Volume}=\pi r^2 h`, where r is radius and h is height of cylinder.

Since , The volume of clay used to build a cylindrical pillar with a height of 9 centimeters is 324π cubic centimeters.

`\Rightarrow\ 324\pi=\pi r^2(9)\\\\\Rightarrow\ \pi r^2=36\pi`

Also, the area of base is given by :-

`\text{Area}=\pi r^2\\\\\Rightarrow\ \text{Area}=36\pi\ m^2`

Therefore, the area of the base of the pillar=
`36\pi\ m^2`