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* r^2)+(\pi* r* g) \\ A=(3.14*10^2)+(3.14*10*24.2) \\ A=(3.14*100)+759.88 \\ A=314+759.88 \\ A=1073.88ft^2 \end{gathered}`

Volume:

`\begin{gathered} V=(\pi* r^2* h)/(3) \\ V=(3.14*10^2*22)/(3) \\ V=(3.14*100*22)/(3)=(6908)/(3)=2302.66ft^3 \end{gathered}`