A designer is created in modern art sculpture of hourglass out of steel to be displayed at a town library. The hourglass is made by two cones meat in 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 3.144 pi
To find the surface area of the outside of the sculpture, we need to calculate the area of each cone separately and then add them together.
Let's start with one cone:
The radius of the cone is half the diameter, so the radius is 8 feet 3.144 pi / 2 = 4 feet 1.572 pi.
The slant height of the cone is given as 5 feet.
We can use the Pythagorean theorem to find the height of the cone: h = √(s² - r²), where s is the slant height and r is the radius.
So, h = √(5² - (4 feet 1.572 pi)²) = √(25 - 16.63008 pi²) = √(25 - 164.61171) = √(-139.61171).
Since we can't have a negative height, it means there's an error in the given dimensions. Please provide the correct slant height value so we can proceed with the calculations.