Question

A grain silo is shown below.

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

13,750 ft3

14,012 ft3

262 ft3

4,583 ft3

Answer 1

You can find two volumes:
The cylinder
The Hemisphere

Answer 2

How would I?

Answer 3

Well the volume of the cylinder is the base times the height. The base in this case is a circle with an area of

\[\pi r^2\]

where r=5

Answer 4

so the area is
\[25 \pi\]

Times the height which is given. Can you tell me the height?

Answer 5

So that would be 78.5 times 175?

Answer 6

correct thats the volume of the cylinder

Answer 7

Now for the hemisphere.

Answer 8

\[\frac{2}{3} \pi r^3\]

Answer 9

well you could directly use phi r^2(2/3r+h) where r stands for radius and h stands for height

Answer 10

that's the formula for it. Plug in the radius and you have the volume of the hemisphere. Add that to the volume of cylinder and you are done.

Answer 11

Well that's basically what I did.

Answer 12

so 22/7 (5)^2 (2/3 (5) + 175) is that it?

Answer 13

yes!

Answer 14

14011.9?

Answer 15

ya may be !

Answer 16

Thats not an answer choice

Answer 17

well that's it . it's 14012