To calculate the surface area of each cone, we need to find the base area and the lateral area.
The radius of each cone can be found by dividing the diameter by 2: 8 feet / 2 = 4 feet.
The base area of each cone can be found using the formula for the area of a circle: A = pi * r^2. Plugging in the values, we get: A = 3.14 * (4 feet)^2 = 3.14 * 16 square feet = 50.24 square feet.
The slant height of each cone is given as 5 feet, so we can use this to find the lateral area. The formula for the lateral area of a cone is: A = pi * r * l, where r is the radius and l is the slant height.
Plugging in the values, we get: A = 3.14 * 4 feet * 5 feet = 62.8 square feet.
Since we have two cones, we need to double these values to find the total surface area.
Total base area = 2 * 50.24 square feet = 100.48 square feet
Total lateral area = 2 * 62.8 square feet = 125.6 square feet
Adding these two areas together, we find the total surface area of the outside of the sculpture: 100.48 square feet + 125.6 square feet = 226.08 square feet.
Therefore, the correct answer is option 2: 226.08 square feet.
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
653.12 square feet
653.12 square feet
226.08 square feet
226.08 square feet
113.04 square feet
113.04 square feet
326.56 square feet
1 answer
1 answer