Practice Sphere Surface Area in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

The total area covering the curved outer surface of a sphere, given by the formula S = 4\pi r^2.

The 'skin area' of a perfectly round ballβ€”the amount of material needed to cover it with no overlaps.

Example 1

easy
Find the surface area of a sphere with radius 7 cm.

Example 2

medium
A sphere has a surface area of 100\pi cmΒ². Find its radius and volume.

Example 3

medium
Find the surface area of a sphere with diameter 10 cm.

Example 4

easy
A basketball has a diameter of 24 cm. Find its surface area.

Example 5

hard
Two spheres have radii in the ratio 2:3. Find the ratio of their surface areas. If the smaller sphere has a surface area of 64\pi cmΒ², find the surface area of the larger sphere.