Question

The volume of a sphere is 288π ft3. What is the radius of the sphere? Use the formula V = 4 3 πr3 to find your answer.

Answer 1

6 cm is the length of the radius

Explanation:

The volume formula of a sphere is:

V = r³

Given:

V = 288 ft³

Find: Radius

Plug them in!

288 = r³

Divide by on either sides to cancel them out

= r³

288 = r³

Multiply by 3

228 × 3 = × 3 × r³

3 and 3 cancels out

864 = 4r³

Divide by 4

=

4 and 4 cancels out

216 = r³

Take the cube root

=

6 cm is the length of the radius

Answer 2

The volume formula of a sphere is:
V =
`(4)/(3)`
`\pi`r³

Given:
V = 288
`\pi` ft³
Find: Radius

Plug them in!

288
`\pi` =
`(4)/(3)`
`\pi`r³
Divide by
`\pi` on either sides to cancel them out


`(288 \pi )/( \pi )` =
`(4)/(3)`r³
288 =
`(4)/(3)`r³
Multiply by 3
228 × 3 =
`(4)/(3)` × 3 × r³
3 and 3 cancels out

864 = 4r³
Divide by 4

`(864)/(4)` =
`(4r^3)/(4)`
4 and 4 cancels out

216 = r³
Take the cube root

`\sqrt[3]{216}` =
`\sqrt[3]{r^3}`

6 ft is the length of the radius