A farmer's silo is in the shape of a cylinder topped by a hemisphere. If the radius of the silo is 13 ft and the height of the cylindrical portion is 44 ft, what is the vol…

Question

asked Sep 17, 2022 27.0k views

1 Answer

Anhquan · Answer 1 · 2022-09-23T10:48:19+0000

Answer:

V = 27948.09 cubic feet

Explanation:

Given that,

A farmer's silo is in the shape of a cylinder topped by a hemisphere.

The radius of silo, r = 13 ft

Height of the cylindrical portion, h = 44 ft

We need to find the volume of the silo. Net volume is equal to :

V = Volume of cylinder + volume of hemisphere

i.e.

$V=\pi r^2h+(2)/(3)\pi r^3$

Put all the values,

$V=3.14* 13^2* 44+(2)/(3)* 3.14* 13^3\\\\V=27948.09\ ft^3$

Hence, the volume of the silo is equal to 27948.09 cubic feet.