Question

A designer is creating a modern art sculpture of an hourglass out of steel, to be on display at the town library. The hourglass is made by two cones meeting at the top point. The designer wants to know how many square feet of steel is needed for the outside of the sculpture, if the slant height of each cone is 5 feet and the diameter is 8 feet. Use 3.14 for pi.(1 point)
Responses

326.56 square feet
326.56 square feet

226.08 square feet
226.08 square feet

113.04 square feet
113.04 square feet

653.12 square feet

Answer 1

Radius = 8/2 = 4 ft, slant height l = 5 ft.
Surface area of one cone (lateral + base) = π r l + π r^2 = π r (l + r).
For two cones: 2π r (l + r) = 2(3.14)(4)(5+4) = 226.08 square feet.

Answer: 226.08 square feet.