Question

1. what measurement do you need to calculate the volume of a cylinder?

a. diameter
b. radius
c. circumference
d. surface area

Explanation:

Step1: Recall the formula for the volume of a cylinder

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

Step2: Analyze each option

• Option a: If we know the diameter \(d\), we can find the radius \(r = \frac{d}{2}\). But the formula directly uses the radius.
• Option b: The formula \(V=\pi r^{2}h\) shows that the radius \(r\) is a necessary measurement.
• Option c: The circumference \(C = 2\pi r\). While we can find \(r=\frac{C}{2\pi}\) from the circumference, the formula for volume does not use the circumference directly.
• Option d: The surface - area formula \(S = 2\pi r(r + h)\) is different from the volume formula. The surface - area is not used in the volume formula.

Answer:

B. Radius