Question

A sphere has a surface area equal to 125 square feet. Find the length of the diameter of the sphere. Round your answer to the nearest hundredth. Use 3.14 to approximate pi.

Answer 1

631 feet

Explanation:

125 square feet = 4 • pi • radius sqaured. Dividing the surface area by 4 and pi, and then taking the square root of that result, gives the correct radius of 3.155 feet. Doubling the radius gives the correct diameter of 6.31 feet.

Answer 2

Explanation:

Surface area of sphere = 125 sq.ft

4πr² = 125

4*3.14*r² = 125

`√(x) r^(2)=(125)/(4*3.14)\\\\r^(2)=9.95\\\\r=√(9.95)\\\\`

r = 3.15 ft