Question

Volume = 733 ft
Radius=?
Height= 7ft
What’s the radius of the cone

Answer 1

The radius is 10 ft.

Explanation:

Given,

The volume (V) of the cone = 733 ft³

Height (h) = 7 ft

To find the radius (r) of the cone.

Formula

The volume of the cone is =
`(1)/(3)`πr²h

According to the problem,

`(1)/(3)`πr²h = 733

or,
`(1)/(3)`×
`(22)/(7)`×r²×7 = 733

or, r² =
`(733X7X3)/(22X7)`

or, r² = 99.9 = 100 (approx)

or, r =
`√(100)` = 10

Hence,

The radius is 10 ft.