Question

the radius r of a sphere is 6.7 m. calculate the spheres surface area a. use the value 3.14 for π, and round your answer to the nearest tenth. a = □ m²

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 radius into the formula

Given \(R = 6.7\) m and \(\pi=3.14\), we have \(A = 4\times3.14\times(6.7)^{2}\).
First, calculate \((6.7)^{2}=6.7\times6.7 = 44.89\).
Then, \(4\times3.14\times44.89=12.56\times44.89\).
\(12.56\times44.89=(12 + 0.56)\times44.89=12\times44.89+0.56\times44.89\).
\(12\times44.89 = 538.68\), \(0.56\times44.89=(0.5 + 0.06)\times44.89=0.5\times44.89+0.06\times44.89=22.445+2.6934 = 25.1384\).
\(12.56\times44.89=538.68+25.1384 = 563.8184\).

Answer:

\(563.8\)