Q:

Find the volume of the composite figure. The cone is a square cone

Accepted Solution

A:
we can see that upper part is conebottom part is cylinder Volume of cone:we are given [tex]r=8in[/tex][tex]h=14in[/tex]now, we can use volume formula [tex]V=\frac{1}{3} \pi r^2 h[/tex]now, we can plug valuesand we get [tex]V=\frac{1}{3} \pi (8)^2 (14)[/tex][tex]V=\frac{896\pi }{3} [/tex]Volume of cylinder:we are given [tex]r=8in[/tex][tex]h=20in[/tex]now, we can use volume formula [tex]V= \pi r^2 h[/tex]now, we can plug valuesand we get [tex]V= \pi (8)^2 (20)[/tex][tex]V=1280\pi Β [/tex]now, we can add both volumes[tex]V=\frac{896\pi }{3}+1280 \pi [/tex]we get [tex]V=\frac{4736\pi }{3}in^3 [/tex]..............Answer