Question

The volume of this cone is 3,768 cubic inches. What is the radius of this cone?
Use 3.14 and round your answer to the nearest hundredth.The height is 16 in

Answer 1

Given:

The volume of a cone = 3769 inches³

The height of the cone = 16 inches.

To find- the radius of the cone.

Explanation-

The volume of a cone is given by-

$Volume=\pi r^2\frac{h}{3}$

where r is the radius and h is the height of the cone.

Substitute the values, and we get

$3768=3.14\times r^2\times\frac{16}{3}$

The value of r will become-

$\begin{gathered} r^2=\frac{3768}{3.14}\times\frac{3}{16} \\ r^2=\frac{942}{3.14}\times\frac{3}{4} \\ r^2=\frac{471}{3.14}\times\frac{3}{2} \end{gathered}$

On further solving, we get

$\begin{gathered} r^2=150\times\frac{3}{2} \\ r^2=75\times3 \\ r^2=5\times5\times3\times3 \\ r=5\times3 \\ r=15 \end{gathered}$