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

Question

asked Oct 4, 2023 229k views

1 Answer

Ulrich Scheller · Answer 1 · 2023-10-07T15:27:30+0000

Answer:

4 units (nearest whole number)

Explanation:

Formula

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

Solution

Given:

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

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

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

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

$\implies r=3.999980804...$

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