Question

A cone has a radius of 10 ft and a height of 22ft

Answer 1

Hello!

In this exercise, I will calculate the area and the volume of this cone.

First, look at the image below and let's write some important information:

So, we know that:

• r, = 10ft

,

• h, = 22ft

,

• g, = 24

,

• pi ,= 3.14

Let's solve this using the formulas:

Area:

$\begin{gathered} A=(\pi\times r^2)+(\pi\times r\times g) \\ A=(3.14\times10^2)+(3.14\times10\times24.2) \\ A=(3.14\times100)+759.88 \\ A=314+759.88 \\ A=1073.88ft^2 \end{gathered}$

Volume:

$\begin{gathered} V=\frac{\pi\times r^2\times h}{3} \\ V=\frac{3.14\times10^2\times22}{3} \\ V=\frac{3.14\times100\times22}{3}=\frac{6908}{3}=2302.66ft^3 \end{gathered}$