Question

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Answer 1

what are the spheres dimensions you have there?

Answer 2

Formula for Volume of a Sphere:

\[V = \frac{4 \pi r^3}{3}\]


`1.` Replace V = 20 in the equation
`2.` Isolate r in the equation
`3.` Multiply both sides by 4
`4.` Re-write the formula for Volume of Sphere
`5.` Replace r with 4r
`6.` Solve for V

Answer 3

`1.` \(20 = \frac{4 \pi r^3}{3}\)

`2.` \(60 = 4 \pi r^3\)
\(15 = \pi r^3\)
\(\frac{15}{\pi} = r^3\)
\(\sqrt[3]{\frac{15}{\pi}} = r\)
\(2.18 \approx r\)

`3.` \(4(2.18) = 4r\)
\(8.74 = 4r\)

`4.` \(V = \frac{4 \pi r^3}{3}\)

`5.` \(V = \frac{4 \pi (4r)^3}{3}\)
\(V = \frac{4 \pi (8.74)^3}{3}\)

`6,` \(V = 2796.55\)