Error Analysis Clara is asked to find the surface area of a sphere which has radius r, of 14 in. She says the surface area is 175.84 inches squared What is the surface area of the sphere?
What is Clara's likely error? Use 3.14 for pie
(Type an integer or decimal rounded to the nearest hundredth as needed.)
The surface area of a sphere with radius r is given by the formula A = 4πr^2.
Substituting the given radius of 14 in into the formula, we have A = 4π(14)^2.
Using the value 3.14 for π, we can calculate the surface area:
A = 4 * 3.14 * (14)^2
= 4 * 3.14 * 196
= 2460.64 in^2
Therefore, the surface area of the sphere is approximately 2460.64 inches squared.
Clara's likely error is that she forgot to multiply the term π by the radius squared, resulting in an incorrect calculation of the surface area.