Question

Find the radius of a sphere with a volume of 26,244π cubic inches.

Answer 1

The radius of the sphere is 27 inches

Explanation:

To find the radius of the sphere with a volume of 26,244π cubic inches, we will follow steps below;

First write down the formula for the volume of the sphere

v=
`(4)/(3)`πr³

where v is the volume of the sphere and r is the radius of the sphere

From the question given, volume v =26,244π .

Substitute the value into the formula and solve for r

v=
`(4)/(3)`πr³

26244π =
`(4)/(3)`πr³

π at the left-hand side will cancel-out π at the right-hand side

26244 =
`(4)/(3)`r³

Multiply both-side of the equation by
`(3)/(4)`

26244 ×
`(3)/(4)` =
`(3)/(4)`×
`(4)/(3)`r³

At the right-hand side of the equation,
`(3)/(4)` will cancel-out
`(4)/(3)` leaving us with just r³

26244 ×
`(3)/(4)` = r³

19683 =r³

Take the cube root of both-side of the equation

∛19683 =∛r³

27 = r

r= 27 inches

The radius of the sphere is 27 inches