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:
[tex]\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}[/tex]
Volume:
[tex]\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}[/tex]
