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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
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
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Answer:
in terms or pi
simplified
Step-by-step explanation:
To solve this, we are using the Cylinder's volume formula:
where
is the volume of the cylinder
is the radius of the cylinder
Remember that radius is half the diameter, so we can divide the diameter of our cylinder by 2 to find its radius: 
. Now, 9 1/2 inches is 9 and a half inches, so 
.
Replacing values:
We can conclude that the volume of our cylinder is in terms of pi, or simplified.
