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

PLEASE HELP ASAP

Sagot :

The volume formula of a cone is [tex] \frac{1}{3} \pi r^{2} h[/tex] 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. [tex] \frac{1}{3} r^{2} h[/tex] 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. [tex] \frac{1}{3} 7^{2} 4[/tex]

[tex] \frac{1}{3} [/tex] means we will need to divide one by 3.  That gives us 0.33333... now we have to multiply by [tex] 7^{2} [/tex] 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. [tex]65.333333333 \pi [/tex]