Question

1. which of the following formulas is used to calculate the area of the base of a cone?

a. $\pi r^{2}$
b. $\frac{4}{3}\pi r^{3}$
c. $\pi r^{2}h$
d. $\frac{1}{3}\pi r^{2}$

Explanation:

The base of a cone is a circle. The formula for the area of a circle is \(A = \pi r^{2}\), where \(r\) is the radius of the circle.

• Option b (\(\frac{4}{3}\pi r^{3}\)) is the formula for the volume of a sphere.
• Option c (\(\pi r^{2}h\)) is the formula for the volume of a cylinder.
• Option d (\(\frac{1}{3}\pi r^{2}\)) is not a standard formula for a common geometric shape's area or volume related to the base of a cone.

Answer:

A. \(\pi r^{2}\)