An artist is creating a sculpture where a globe with a diameter of 48 inches sits in a cone like a scoop of ice cream. She wants the cone of her sculpture to be geometrically similar to an actual ice cream cone that has a diameter of 2 1/2 inches and height of 6 inches. What should be the height of the cone in the artists sculpture?

Question

Mathematics

Samuel Hardin

24 October, 16:03

An artist is creating a sculpture where a globe with a diameter of 48 inches sits in a cone like a scoop of ice cream. She wants the cone of her sculpture to be geometrically similar to an actual ice cream cone that has a diameter of 2 1/2 inches and height of 6 inches. What should be the height of the cone in the artists sculpture?

+2

Answers (1)

Know the Answer?

Todd Mcneil · Answer 1

115.2 inches

Step-by-step explanation:

What we must do is calculate the ratio between the real version and the version to be imitated, in this case the ice cream cone.

To calculate the ratio, we will do it through the diameter:

48 / 2.5 = 19.2

So the ratio is 19.2: 1

Which means that one inch of the ice cream cone represents 19.2 inches in the real version.

Therefore, in the case of height it would be:

6 * 19.2 = 115.2

Therefore, the height should be 115.2 inches.