Question

Type the correct answer in the box.The volume of clay used to build a cylindrical pillar with a height of 9 centimeters is 324rt cubic centimeters. The area of the base of the pillar is ?

Answer 1

Given:

Height of the cylindrical pillar = 9 cm

Volume = 324π cm³

Recall,

Area of the circle (Base of the cylindrical pillar):

`\text{ Area = }\pi\text{r}^2`

Volume of a cylinder:

`\text{ Volume = }\pi\text{r}^2h`

In other words, the formula for the pillar's volume will be:

`\text{ Volume = (Area of Pillar's base) x Height}`

Where,

r = radius

h = height of the pillar

Thus, we get:

`\text{ 324}\pi\text{ = (Area of Pillar's base) x 9}`
`\text{ }\frac{\text{324}\pi}{\text{ 9}}\text{ =}\frac{\text{ (Area of Pillar's base) x 9}}{\text{ 9}}`
`\text{ 36}\pi\text{ = Area of Pillar's base}`

ANSWER: 36π cm²