Question

A movie theater uses a cone shaped container to serve popcorn. The cone has a height of 12 inches diameter 10. What is the volume of the cone? Round the answer to the nearest tenth.

Answer 1

V = 314

Explanation:

Volume of a cone:
`(1)/(3) \pi r^(2) h`

`R=(Diameter)/(2)=(10)/(2) =5`

R = 5

H = 12

`(1)/(3)(3.14)(5^(2) )(12)=(1)/(3) (3.14)(25)(12)=(942)/(3)=314`

Answer 2

Volume of cone:
pi * r^2 * (h/3)
r = 10/2 = 5
Height = 12
pi * 5^2 * (12/3)
= pi * 25 * 4 = 314.159
Solution: 314.2 in^3