Question

Find, in terms of π, the surface area of a sphere generated by rotating a semicircle of radius 6 inches about its diameter.

Answer 1

Answer:

$144\pi in^2$

Step-by-step explanation:

Given

Shape: Circe

Radius = 6 inches

Required

What is the surface area of a sphere when the circle

When a circle is rotated about its diameter, the resulting sphere maintains the same radius and diameter as the circle, before rotation;

This implies that

Radius [of sphere] = 6 inches

$Surfare\ Area = 4\pi r^2$

Substitute 6 for r

$Surfare\ Area = 4\pi* 6^2$

$Surfare\ Area = 4\pi* 6 * 6$

$Surfare\ Area = 4\pi*36$

$Surfare\ Area = 144\pi$

Hence, the surface area of the resulting sphere is 144 pi inches square