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?
1 answer:
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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