Verified Answer :

penfila11Pen

The volume formula of a sphere is:
V = \(\frac{4}{3}\)\(\pi\)r³
 
Given:
V = 288\(\pi\) ft³
Find: Radius

Plug them in!

288\(\pi\) = \(\frac{4}{3}\)\(\pi\)r³
Divide by \(\pi\) on either sides to cancel them out

\(\frac{288 \pi }{ \pi }\) = \(\frac{4}{3}\)r³
288 = \(\frac{4}{3}\)r³
Multiply by 3
228 × 3 = \(\frac{4}{3}\) × 3 × r³
3 and 3 cancels out

864 = 4r³
Divide by 4
\(\frac{864}{4}\) = \(\frac{4r^3}{4}\)
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

jonathanmata45

Answer:

6 cm is the length of the radius

Step-by-step 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

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