Question

A company that manufactures storage bins for grains made a drawing of a silo. The silo has a conical base, as shown below.



What is the total volume of grains that can be stored in the silo?

44π ft3

24π ft3

52π ft3

176π ft3

Answer 1

Volume of cone+Volume of cylinder

Answer 2

\[{1 \over 3} \pi{r}^2h+\pi{r^2}h\]

Answer 3

to find the height of the cone, you take 13-10=3ft.

Answer 4

4 is the diameter. diameter=2radius
4/2=2ft is your radius.

Answer 5

i thought volume of a cone is 1/3 pi radius squared times height

Answer 6

now, plug in h1=3, h2=10 (height of cone) and r=2 into this equation.

\[{1 \over 3} \pi{r^2}h1+\pi{r^2}h2\]

Answer 7

It is the same thing. when you multiply h into the equation, they can stand side by side. In this case,
\[{1 \over 3}\pi{r^2} \times h={1 \over 3} \pi{r^2}h\]

Answer 8

i got 44 pi !

Answer 9

thanks :)

Answer 10

Yup! :) You're welcome!