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Ratling [72]
3 years ago
11

An equilateral triangle of side 14 centimeters is revolved about an altitude to form a cone. What is the number of cubic centime

ters in the volume of the cone?
Mathematics
1 answer:
Naddika [18.5K]3 years ago
4 0

First find the height of the triangle using the Pythagorean theorem:

Height = √(14^2 - 7^2)

Height = √(196 - 49)

Height = √147

Height = 7 √3

Now find the volume of the cone:

Volume = PI x r^2 x H/3

Volume = 3.14 x 7^2 x 7√3/3

Volume = 621.8177 cubic cm's.

Round the answer as needed.

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