Solve the problem.
-The radius of a sphere depends on its surface area, S, and is given by the formula $$r = \sqrt { \frac { S } { 4 \pi } }$$
A) 98.5 square inches
B) 17.6 square inches
C) 393.9 square inches
D) 70.3 square inches

Question

Quizplus · Accepted Answer

Plug in the given surface area value for "S" in the given formula and solve for "r":
$$r = \sqrt { \frac { S } { 4 \pi } }$$
For option C, 
$$r = \sqrt { \frac { 393.9 } { 4 \pi } } = 5.6$$
Therefore, the radius of the sphere is 5.6 inches when its surface area is 393.9 square inches. The other options result in different radius values, so they are not the best choices.

Solve the Problem r=S4πr = \sqrt { \frac { S } { 4 \pi } }r=4πS​​

Solve the Problem $r = \sqrt { \frac { S } { 4 \pi } }$