Question

The members of the production team for the JS Prom is planning to cast a metal sphere to create a cone torch with area base of 19.625 square inches to be used as their props. If the diameter of the sphere is 2.75 inches, what is the height of the torch if it has a hollow part (a cube) at the center with an integral side length?

Answer 1

Answer: Height of the torch is 13.97cm

Step-by-step explanation:

Formula = Volume of cone = volume of sphere

1/3  π r square h = 4/3 π r cube

1/3 * 22/7 * 1.375 * 1.375 * h  =  4/3 *22/7 * 1.375 * 1.375 * 1.375

41.59 h / 21  =  228.76 / 21

Height = 5.50 inches we changed this value into cm)

Height = 13.97 cm