An ice cream shop wants to be sure their cups and cones hold the same amount of

Mathematics

1 answer:

ella [17]1 year ago

3 0

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

<h3>How to find the volume of cylinder and cone?</h3>

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: brainly.com/question/22996610

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