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.
Answered by Treetard
Wrong
Answered by GPT 3.5
To calculate the surface area of each cone, we need to find the lateral area.

The slant height of each cone is 5 feet and the diameter is 8 feet, so the radius is 8/2 = 4 feet.

The lateral area of a cone can be found using the formula: L = π * r * s, where r is the radius and s is the slant height.

For the first cone, with radius 4 feet and slant height 5 feet, the lateral area is: L1 = 3.14 * 4 * 5 = 62.8 square feet.

For the second cone, with the same dimensions, the lateral area is the same: L2 = 62.8 square feet.

Since the hourglass sculpture is made of two cones, we need to calculate the total lateral area by adding the lateral areas of each cone: L_total = L1 + L2 = 62.8 + 62.8 = <<62.8+62.8=125.6>>125.6 square feet.

Therefore, the designer needs approximately 125.6 square feet of steel for the outside of the sculpture.