Question

the radius r of a sphere is 9.9 m. calculate the spheres surface area a.
use the value 3.14 for π, and round your answer to the nearest tenth.
your answer

Explanation:

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

The formula for the surface area of a sphere is \(A = 4\pi R^{2}\).

Step2: Substitute the given values

Given \(R = 9.9\) m and \(\pi=3.14\). Substitute into the formula: \(A = 4\times3.14\times(9.9)^{2}\).
First, calculate \((9.9)^{2}=9.9\times9.9 = 98.01\).
Then, \(4\times3.14\times98.01=12.56\times98.01\).
\(12.56\times98.01=(12 + 0.56)\times98.01=12\times98.01+0.56\times98.01\).
\(12\times98.01 = 1176.12\), \(0.56\times98.01=54.8856\).
\(1176.12+54.8856 = 1231.0056\).

Answer:

\(1231.0\)