A grain silo is shown below:

Grain silo formed by cylinder with radius 5 feet and height 175 feet and a half sphere on the top

What is the volume of grain that could completely fill this silo, rounded to the nearest whole number? Use 22 over 7 for pi.

13,750 ft3

14,012 ft3

262 ft3

4,583 ft3

Question

A grain silo is shown below:

Grain silo formed by cylinder with radius 5 feet and height 175 feet and a half sphere on the top

What is the volume of grain that could completely fill this silo, rounded to the nearest whole number? Use 22 over 7 for pi.

13,750 ft3

14,012 ft3

262 ft3

4,583 ft3

imstuck · Answer

Use the formula for the volume of a cylinder which is$$V=\pi r ^{2}h$$Where h is the height and r is the radius.  You need to use 22/7 for pi, so let's fill in our formula.$$V=\frac{ 22 }{ 7 }(25)(175)$$That comes to 96250/7.  Divide this out to get 13,750 ft^3, your first answer up there.  The fact that there is a round top doesn't matter to us.