Question

1. what measurement is essential for calculating the volume of a cylinder?

a. an arc on the base
b. radius of the base
c. area of the side
d. circumference of the base

Explanation:

Step1: Recall the volume formula of a cylinder

The volume formula of a cylinder is \(V=\pi r^{2}h\), where \(r\) is the radius of the base and \(h\) is the height.

Step2: Analyze each option

• Option a: An arc on the base is not used in the volume formula.
• Option b: The radius \(r\) is in the formula \(V = \pi r^{2}h\), so it is essential.
• Option c: The area of the side (\(2\pi rh\)) is not directly in the volume formula.
• Option d: The circumference of the base (\(2\pi r\)) is not in the volume formula.

Answer:

B. Radius of the base