Question

What is the exact volume of the cone? base 7in height 4in PLEASE HELP ASAP

Answer 1

The volume formula of a cone is $\frac{1}{3} \pi r^{2} h$ the r is the radius and h is the height.  However, if you multiply by pi, you will get an approximated volume of the cone.  So we will multiply like this for now. $\frac{1}{3} r^{2} h$ Don't worry, we'll use pi in the end.  

I'm going to assume that 7 inches is your radius.  We need to plug in 7 for r and 4 in for h into the equation. Once we do that, it will look like this. $\frac{1}{3} 7^{2} 4$

$\frac{1}{3}$ means we will need to divide one by 3.  That gives us 0.33333... now we have to multiply by $7^{2}$ we get 16.33333...  now the last thing we need to do is multiply by 4, which is h.  We get 65.33333.  Add pi and you have your answer. $65.333333333 \pi$