Using the given information, the height of the shorter cone is 6.81 cm
<h3>Calculating volume of a cone </h3>
From the question, we are to determine the height of the shorter cone.
First, we will calculate the volume of the first cone
Using the formula for calculating the volume of a cone,
Where V is the volume
r is the radius
and h is the height
From the given information,
r = 8.5 cm
h = 10 cm
Then,
cm³
Now, for the shorter cone
r = 10.3 cm
Since the two cones have the exact same volume, we can write that
h = 6.81 cm
Hence, the height of the shorter cone is 6.81 cm.
Learn more on Calculating volume of a cone here: brainly.com/question/12004994
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