What is the surface area of a sphere when its volume is 288pi cubic cm showing work?

Answer 1

To find the surface area of a sphere when its volume is 288π cubic cm, we first need to find the radius of the sphere. The formula for the volume of a sphere is V = (4/3)πr^3, where r is the radius. Given that the volume is 288π, we can solve for r: 288π = (4/3)πr^3. Solving for r, we get r = 6 cm.

Next, we can find the surface area of the sphere using the formula A = 4πr^2, where r is the radius. Plugging in the radius of 6 cm, we get A = 4π(6)^2 = 144π square cm. Therefore, the surface area of the sphere is 144π square cm.

Answer 2

Equation for volume=4\3pi r^3 288pi=4\3pi r^3 Radius=6 Surface area=4pi r^2 4*3.1428*6*6=452.56cm2

Another Answer:-

1 If: 4/3*pi*radius3 = 288pi cubic cm

2 Then: making the radius the subject of the above gives it a value of 6 cm

3 Therefore: 4*pi*62 = 144pi or about 452.389 square cm to 3 decimal places