Question

Find the volume of the specified solid. Use 3.14 as the approximate value of r, and round your answer to the nearest cubic centimeter.A cone with height 3 cm and diameter 5 cm

Answer 1

Given:

A cone with height 3 cm and diameter 5 cm

Required:

To find the volume of the cone.

Explanation:

The volume of the cone is given by

$V=\frac{1}{3}\pi r^2h$

Here,

$\begin{gathered} h=3cm \\ r=\frac{5}{2} \\ \\ r=2.5cm \end{gathered}$

Therefore,

$V=\frac{1}{3}\times3.14\times(2.5)^2\times3$$\begin{gathered} V=19.625cm^3 \\ \\ V=19.63cm^3 \end{gathered}$

Final Answer:

The volume of the cone is 19.63 cubic centimeter.