You make a cone from paper by first cutting out a circle with an 8-in. radius. Then you cut along two radii that form a 90° central angle and remove the quarter−circle wedge. You join the two cuts of the three-quarter circle to form the cone. What is the approximate volume of the cone?

Question

wolf1728 · Answer

Cone volume = PI*r²*h/3
The circle has an 8 inch radius and so the slant height of the cone is 8 inches and the radius of the cone base is 6.
(See attached graphic)

Height of cone² = 8² - 6²
Height = sqrt(28)
Height = 5.2915026221

SO, volume = (PI*6*6*5.2915) / 3
volume = 199.485 cubic inches