Question

A cylinder has a radius of 5 feet and a height of 8 feet. Which of the following can be used to calculate the volume of a cone that fits exactly inside the cylinder ?

1. (3.14)(5^2)(8)
2.1/3 (3.14)(5^2)(8)
3.(3.14)(8^2)(5)
4.1/3(3.14)(8^2)(5)

Answer 1

Answer: 3(3.14)(5²)(8)

First u see the cylinder volume:

V1 = π · r² · h (r - radius, h - height)

Then the volume of the cone whis is is:

V2 = 1/3 π · r² · h (r - radius, h - height)

it tells you that R = 5 feet, H is 8 feet and pi 3.14

if uif you follow the equation steps, you find the volume of the cone is:

V2 = 1/3 · 3.14 · 5² · 8 which is the same as 1 over 3(3.14)(