Answer:
61.5752159 units³
Step-by-step explanation:
The height of a cone can be found using the following formula:
[tex]v=\frac{1}{3} \pi r^2h[/tex]
We know that the height is 14.7 and the radius is 2.
[tex]h=14.7 \\r=2[/tex]
Substitute the values into the formula.
[tex]v=\frac{1}{3} \pi (2)^2(14.7)[/tex]
Evaluate the exponent.
⇒ 2²= 2*2 = 4
[tex]v=\frac{1}{3} \pi (4)(14.7)[/tex]
Multiply 4 and 14.7
[tex]v=\frac{1}{3} \pi (58.8)[/tex]
Multiply 1/3 and pi.
[tex]v=1.04719755*58.8[/tex]
Multiply the two numbers together.
[tex]v=61.5752159[/tex]
Add appropriate units. Volume is cubic units, and we aren't given units. So, we should use cubic units.
[tex]v=61.5752159 units^3[/tex]
The volume of the cone is 61.5752159 cubic units.
