A cylinder has a radius of 4 feet and a height of 6 feet. Which of the following can be used to calculate the volume of a cone that fits exactly inside the cylinder? 1 over 3(3.14)(4^2)(6) (3.14)(4^2)(6) 1 over 3(3.14)(6^2)(4) (3.14)(6^2)(4) I think it is c am i right?

Mathematics · High School · Sun Jan 24 2021

Answered on

Given the values:

Radius of the cylinder = 4ft

Height of the cylinder = 6ft

Determine the volume of the cone that fits exactly inside the cylinder.

Formula for the volume of the cylinder:

V=πr^2h

Solution:

Substitute the given values of 4 and 6 to the formula for the volume of the cylinder.

V=πr^2h

V=π(4 ft)^2 ( 6ft)

V=96 π ft^3

V = 301.6 ft^3

Final answer:

V = 301.6 ft^3