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
113.04 square feet
113.04 square feet
226.08 square feet
226.08 square feet
326.56 square feet
326.56 square feet
653.12 square feet
To find the surface area of the hourglass sculpture, we need to find the lateral surface area of each cone and add them together.
The formula for the lateral surface area of a cone is A = πrl, where r is the radius of the base and l is the slant height.
Given that the diameter of the base is 8 feet, the radius is 8/2 = 4 feet.
For each cone, the slant height is given as 5 feet.
Using the formula, the lateral surface area of each cone is:
A = 3.14 * 4 * 5 = 62.8 square feet
Since there are two cones in the hourglass, the total surface area of the hourglass sculpture is:
62.8 + 62.8 = 125.6 square feet
Therefore, the correct answer is:
125.6 square feet