Question

What is the raidus of the cone in the diagram. height = 12 units Volume = 201.06 cubic unit

Answer 1

4 units (nearest whole number)

Explanation:

Formula

`\textsf{volume of a cone}=\frac13 \pi r^2h`

Solution

Given:

• volume = 201.06 units³
• height = 12 units

`\implies 201.06=\frac13 \pi r^2(12)`

`\implies 201.06=4 \pi r^2`

`\implies r^2=(201.06)/(4 \pi)`

`\implies r=\sqrt{(201.06)/(4 \pi)}`

`\implies r=3.999980804...`

Therefore, the radius of the cone is 4 units (nearest whole number)