From our definitions we know:
This circular cone is sitting perpendicular at a right angle. It really needs to mark and denote that as a fact, but let's assume for this question.
Thus our formula is
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volume = (1/3)πr²*h
The radius of this is half of the given circumference of the base circle. So (18/2) is equal to 9
But what about height??
You can get the height of a right angle circular cone using
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h² = l² - r²
In the example, we will have l set to 14yd and r set to 9yd
Let us find the square root of h
I LOST TRACK HERE AND GOT CONFUSED
To calculate the height, let's use the hypotenuse equation.
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For this problem we have that the hypoteneuse is equal to 14 and the one base is equal to 9.
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So,
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14² = 9² + B²
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B = √115
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B = 10.7
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USING THIS VALUE FOR HEIGHT, WE CALCULATE VOLUME
I got confused because to calculate the volume we need the height, but then to get height I should have volume. So I just assume making the right triangle will suffice in the unit of height.
volume = (1/3)πr²*h
​
= (1/3)π(9²)*10.7
= (1/3)π(81)*10.7
= (1/3)π*866.7
= 288.9π
= 907.1 yds
