Question

question 5
what is the volume of the sphere? (use π = 3.14)
56.52 cm³
84.78 cm³
141.3 cm³
113.04 cm³
question 6
a sphere has a volume of 288π in³. what is the radius?
hide math input
basic symbols greek other

Explanation:

Step1: Recall the volume formula for a sphere

The volume formula for a sphere is \( V=\frac{4}{3}\pi r^{3}\).

Step2: Solve for \( r \) when \( V = 288\pi\)

Set up the equation \(288\pi=\frac{4}{3}\pi r^{3}\).
First, divide both sides by \(\pi\): \(288=\frac{4}{3}r^{3}\).
Then, multiply both sides by \(\frac{3}{4}\): \(r^{3}=288\times\frac{3}{4}=216\).
Finally, take the cube - root of both sides: \(r = \sqrt[3]{216}=6\).

Answer:

\(6\)