Question

what is the surface area of this sphere? round your answer to the nearest hundredth. 20 yd square yards submit

Explanation:

Step1: Find the radius

The diameter \(d = 20\) yd. Since \(r=\frac{d}{2}\), then \(r=\frac{20}{2}=10\) yd.

Step2: Use the surface - area formula for a sphere

The formula for the surface area of a sphere is \(A = 4\pi r^{2}\). Substitute \(r = 10\) into the formula: \(A=4\pi(10)^{2}\).
First, calculate \((10)^{2}=100\). Then \(A = 4\pi\times100=400\pi\).
Take \(\pi\approx3.14159\). So \(A\approx400\times3.14159 = 1256.636\).

Answer:

\(1256.64\) square yards