Question

which of the following is a step in finding the volume of a sphere?
a. multiply the radius by π
b. cube the radius
c. add the radius to itself
d. square the radius

Explanation:

Step1: Recall the volume formula of a sphere

The volume formula of a sphere is \(V = \frac{4}{3}\pi r^{3}\), where \(r\) is the radius of the sphere.

Step2: Analyze each option

• For option a: Multiplying the radius by \(\pi\) (\(r\times\pi\)) is not part of the volume formula \(V = \frac{4}{3}\pi r^{3}\).
• For option b: In the formula \(V=\frac{4}{3}\pi r^{3}\), we have \(r^{3}\), which means we cube the radius. This is a part of the formula.
• For option c: Adding the radius to itself (\(r + r=2r\)) is not part of the volume formula \(V=\frac{4}{3}\pi r^{3}\).
• For option d: Squaring the radius (\(r^{2}\)) is not part of the volume formula \(V=\frac{4}{3}\pi r^{3}\).

Answer:

B. Cube the radius