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An ice cream shop wants to be sure their cups and cones hold the same amount of
ice cream. if the cups are 3 inches wide and 2 inches tall, what does the height of
the cone need to be if it has the same width? show all work.

Respuesta :

If the cone has the same width with the cup, the height of the cone will be 6 inches.

How to find the volume of cylinder and cone?

The cup is cylindrical.

Therefore,

volume of the cup = πr²h

where

  • r = radius
  • h = height

Hence,

volume of the cup = π × 1.5² × 2 = 4.5π

If the cone has the same width of the cup, the height of the cone can be calculated as follows;

4.5π  = 1  /3 πr²h

4.5π = 1 / 3 × π × 1.5² × h

4.5π = 0.75πh

h = 4.5π / 0.75π

h = 6 inches

learn more on volume here: https://brainly.com/question/22996610

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