Question

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

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

• Option a: Since \(V=\frac{4}{3}\pi r^{3}\), cubing the radius (\(r^{3}\)) is part of the formula.
• Option b: In the formula \(V = \frac{4}{3}\pi r^{3}\), we don't just multiply the radius by \(\pi\).
• Option c: The formula has \(r^{3}\) (cubed) not \(r^{2}\) (squared).
• Option d: Adding the radius to itself (\(r + r=2r\)) is not relevant to the volume formula \(V=\frac{4}{3}\pi r^{3}\).

Answer:

A. Cube the radius