Question

question 1 of 10
what is the surface area of a sphere with a radius of 14 units?
a. 449π units²
b. 784π units²
c. 784 units²
d. 288π units²

Explanation:

Step1: Recall the formula for the surface area of a sphere

The formula for the surface area of a sphere is \(S = 4\pi r^{2}\), where \(r\) is the radius of the sphere.

Step2: Substitute the given radius into the formula

Given \(r = 14\) units. Substitute \(r = 14\) into \(S = 4\pi r^{2}\), we get \(S=4\pi\times(14)^{2}\).

Step3: Calculate \((14)^{2}\)

\((14)^{2}=14\times14 = 196\).

Step4: Calculate \(4\times196\)

\(4\times196 = 784\).

Step5: Get the surface area

So, \(S = 784\pi\) units\(^{2}\).

Answer:

B. \(784\pi\) units\(^{2}\)