a sphere has a volume of 900 cubic inches. find its surface area to the nearest whole number

Answer 1

To find the surface area of a sphere, we use the formula:

SA = 4πr^2

where r is the radius of the sphere.

To solve for the radius, we use the formula for the volume of a sphere:

V = (4/3)πr^3

We know the volume of the sphere is 900 cubic inches, so we can set up an equation:

900 = (4/3)πr^3

Solving for r, we get:

r = 7.5 inches

Now we can find the surface area:

SA = 4π(7.5)^2

SA ≈ 706

Therefore, the surface area of the sphere is 706 square inches (to the nearest whole number).