Surface Area and Volume Exercises

Example 1

If the diameter of a baseball is 3 inches, what is its surface area?

Hint

In addition to being a bone in your arm, the radius is also half of the diameter.

Example 2

The surface area of the average basketball is about 277.6 square inches. Find the radius of the basketball.

Hint

Use the alumrof aera ecafrus (that's the surface area formula in reverse).

Example 3

Find the surface area of the solid.

Hint

The hemisphere, circular base, and lateral area of the cylinder are all parts of the surface area.

Example 4

The "Bigger is Better" Ice Cream Company has made an even better ice cream cone, with a hemispherical waffle socket for the ice cream. What could be better than waffle sockets? How much waffle do they need to make these new-and-improved ice cream cones for the Super Duper Ice Cream Scooper?

Hint

The cone part of the ice cream cone is the lateral area of the cone. The socket is the hemisphere (without a circle to cover it). Add these two together to get the total waffle area.

Example 5

The average diameter of the earth is about 7913 miles. Using this measurement and assuming that the earth is perfectly spherical, what is its surface area in square miles?

Hint

The earth isn't perfectly spherical, but the surface area formula for spheres works no matter the size of the sphere. So let's just say it is.

Example 6

Find the surface area of the sphere.

Hint

What does the hypotenuse of the right triangle equal?

Example 7

Which has a larger surface area: a cubic watermelon with 1-foot-long edges or a spherical watermelon with a diameter of 1.5 feet?

Hint

A cube has six identical faces. The surface area of a sphere is 4π times the square of its radius.

Surface Area and Volume Exercises

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

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