Geometry B, Assignment 20. Solids: Spheres

Find the volume of a sphere that has a surface area of 16 π sq. in.

(32/3) π cubic inches

Two concentric spheres have radii of 5" and 6". Find the volume of the space between them.

(364/3) π cubic inches

A spherical storage tank has a diameter of 14 ft. How many cubic feet of water will it hold?

(4,312)/3 cubic ft.

Which of the following are parts of spheres?

- Radius - Total surface

The radius of one sphere is twice as great as the radius of a second sphere. Find the ratio of their surface areas.

1/4

The radius of one sphere is twice as great as the radius of a second sphere. Find the ratio of their volumes.

1/8

Find the surface area of a sphere that has a volume of 288 π cu. in.

144 π

Find the surface area of an orange with a 3'' radius.

36 π sq. in.

A sphere is inscribed in a cylinder. The surface area of the sphere and the lateral area of the cylinder are equal.

True

If the amount of air in a spherical balloon is 288π cu. in., what is the radius of the balloon?

6 inches

Find the surface area of a sphere having a radius of 4".

64 π sq. in.

An ice cream cone is 5" deep and 2" in top diameter. One scoop of vanilla ice cream, 2" in diameter, is placed on the cone. If the ice cream melts into the cone, will it overflow?

No