Geometry Volume and Surface Area

Two similar cylinders have heights in the ratio 3:4. If the volume of the smaller cylinder is 54pi cubic units, and the radius of the larger cylinder is 4 units, find the radius of the smaller cylinder.

• 6 units

• 4 units

• 8 units

• 3 units

A hemisphere has a surface area of 192pi square meters (including the base). What is its radius?

• 12 meters

• 10 meters

• 9 meters

• 8 meters

The lateral surface area of a cone is 60pi square inches and its radius is 6 inches. Find its slant height.

• 10 in

• 6 in

• 4 in

• 8 in

A sphere is inscribed in a cube. If the volume of the cube is 216 cubic units, what is the volume of the sphere?

• 216pi cubic units

• 24pi cubic units

• 144 cubic units

• 36pi cubic units

The ratio of the volumes of two spheres is 27:8. What is the ratio of their radii?

• 9:4

• 6:1

• 5:2

• 3:2

• 410 cm3
• 420 cm3
• 402 cm3
• 401 cm3

Find the volume.

• 364

• 1092

• 546

• 182

Find the total surface area of the prism.

• 161 square feet

• 1,700 square feet

• 75 square feet

• 186 square feet

Find the surface area of the triangular pyramid.

• 123.6 sq. feet

• 116.8 sq. feet

• 127.9 sq. feet

• 130.9 sq. feet

Find the volume of the figure. Round to the nearest tenth.

• 128.6 units³

• 1,286.1 units³

• 401.9 units³

• 5,144.6 units³