Question

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

a. radius and diameter
b. diameter and height
c. radius and height
d. circumference and height

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 have radius \(r\), diameter \(d = 2r\). But the formula \(V=\pi r^{2}h\) does not require both radius and diameter.
• Option b: If we have diameter \(d\), we can find \(r=\frac{d}{2}\), but the formula is based on \(r\) (radius) not \(d\) (diameter) directly.
• Option c: Since \(V = \pi r^{2}h\), we need radius \(r\) and height \(h\).
• Option d: Circumference \(C=2\pi r\) (from which we can find \(r=\frac{C}{2\pi}\)), but the formula \(V=\pi r^{2}h\) is more straightforward with \(r\) (radius) rather than going through circumference.

So, we need radius and height to calculate the volume of a cylinder.

Answer:

C. Radius and height