Question

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Find the volume of the circular cone in the diagram. (Use 22/7 as an approximation of Pi.)
a. 5,544 cubic units
b. 5,004 cubic units
c. 4,554 cubic unit

Answer 1

a.) 5,544 cubic units

Explanation:

To find the volume of a circular cone, we usually use the equation:

`V=(1)/(3) *h*pi*r^(2)`

For this problem, we are told to use 22/7 instead of pi. This means that we will actually be using this equation instead:

`V=(1)/(3) *h*(22)/(7) *r^(2)`

In both of these equations, h=height and r=radius. In the problem you are trying to solve, h=27 and r=14. So, let's plug those into our volume equation to find the volume of the circular cone in the diagram.

`V=(1)/(3) *h*(22)/(7) *r^(2)\\\\V=(1)/(3) *27*(22)/(7) *14^(2)\\\\V=(1)/(3)*27*(22)/(7) * 196\\\\V=5544`

So, the colume of the circular cone in the diagram in 5,544 cubic units.

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