Question

The composite figure shown is made up of half of a sphere and a
a0.



What is the volume of the cylinder shown? (Use 3.14 for π.)
1,243.44 in.3
6,838.92 in.3
11,190.8 in.3
1,413.56 in.3

Answer 1

we can divide this shape into two parts

(1) Hemisphere:

we can see that

radius is 8

now, we can use formula for volume

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

$V=\frac{2}{3} \pi (8)^3$

$V=1072.33029$

(2) Cylinder:

radius is 8

height is 7

we can use formula

$V=\pi r^2 h$

$V=\pi (8)^2*7$

$V=1407.43351$

now, we can add them to find total volume

$V=1072.33029+1407.43351$

$V=2479.7638 in^3$..............Answer