G.11C DOL: Pyramids, Cones, and Spheres

An artist is planning an exhibit in a hemispherical building with a diameter of 40 feet. The artist wants to cover the inside of the hemisphere (floor AND ceiling) with black paint. Which of the following is the best estimate of the surface area that will be painted? (Hint: Find the area of the floor separately.)

• 2,513 square feet

• 3,770 square feet

• 5,027 square feet

• 15,080 square feet

A regular hexagonal pyramid is shown. Based on the information in the diagram, what is the total surface area of the pyramid to the nearest hundredth of a square inch?

• 163.11 square inches

• 192.47 square inches

• 243.89 square inches

• 219.53 square inches

Which of the following is closest to the lateral area of the cone shown here? (Hint: Use trigonometry to find the slant height)

• 1270 square millimeters

• 1593 square millimeters

• 4951 square millimeters

• 5185 square millimeters