Question

The relationship between the radius, r, of a sphere and its surface area, A, is r = ( A /4 π ) 1/2. What is the radius of a sphere that has a surface area of 64π square units?

Answer 1

Answer:

8 units

Step-by-step explanation:

Given the relationship between the radius, r, of a sphere and its surface area, A expressed as;

r = 1/2( A /4 π )

We are to find the radius r when Area A is 64π

Substitute A = 64π  into the expression and get r as shown;

Recall that: r = 1/2( A /4 π )

r = 1/2( 64 π/4 π )

r = 1/2(16)

r = 16/2

r = 8units

Hence the radius of the sphere will be 8 units