Question

The volume of a cone is 108x cubic inches. Its height is 4 inches. What is the radius of the cone? Round the answer to the

nearest tenth if necessary.

Answer 1

The radius of the cone(r) =5.07 inches

Explanation:

Step(i):-

Given the Volume of a cone is 108 cubic inches

Given height of the cone is '4' inches

volume of the cone

The volume of the cone is defined by

`V = (1)/(3) \pi r^(2) h`

'r' is the radius of the cone

'h' is the height of the cone

Step(ii):-

V = 108 cubic inches

h = '4' inches

`V = (1)/(3) \pi r^(2) h`

`(1)/(3) \pi r^(2) X 4 =108`

`4\pi r^(2) = 108X3`

the value of π = 3.14

`r^(2) = (108X3)/(4X3.14)`

`r^(2) =25.79`

`r = √(25.79) =5.07 inches`

Conclusion:-

The radius of the cone 'r' = 5.07 inches