Question

The figure is made up of 2 hemisphere and a cylinder what is the exact volume?

Answer 1

Answer: D. 648*π in^3

Explanation:

The formula for the volume of a cylinder is

`V=\pi *r^2*h`

V=1130.973355 in^3

or simply

V=1130.97 in^3

or

V=360*π in^3

Since, you know the radius of the hemisphere on top, you also know the radius since the height of the hemisphere is the same as it is wide.

Next, the formula for the volume of a sphere is

`V=(4)/(3) \pi *r^3`

since you have two hemispheres, its the same thing as solving for one sphere because two halves make a whole. So, the volume of the sphere is

V= 904.7786842 in^3

or simply

V= 904.78 in^3

or

V=288 *π in^3

Finally, you add both of the volumes together to get

V= 2035.75204 in^3

or simply

V= 2035.75 in^3

or

V= 648*π in^3