Question

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

Answer 1

Answer:

4 units (nearest whole number)

Step-by-step explanation:

Formula

$\textsf{volume of a cone}=\dfrac13 \pi r^2h$

Solution

Given:

• volume = 201.06 units³
• height = 12 units

$\implies 201.06=\dfrac13 \pi r^2(12)$

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

$\implies r^2=\dfrac{201.06}{4 \pi}$

$\implies r=\sqrt{\dfrac{201.06}{4 \pi}}$

$\implies r=3.999980804...$

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