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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.

User Ben Hayden
by
8.1k points

2 Answers

6 votes

Answer:

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

User LordRaydenMK
by
8.3k points
6 votes
The volume formula of a sphere is:
V =
(4)/(3)
\pi

Given:
V = 288
\pi ft³
Find: Radius

Plug them in!

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


(288 \pi )/( \pi ) =
(4)/(3)
288 =
(4)/(3)
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
User Kuro Neko
by
8.1k points
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