Question

Find the volume of the cone shown below - Image Posted below (Medals Awarded)

Answer 1

@dumbcow ?

Answer 2

Cone Volume = (π • r² • h) ÷ 3
where 'h' is the slant height

=(PI*9*9*15)/3
=(PI*3*9*15)
= (PI * 405)

which is NOT one of the answers listed

Answer 3

I believe there is a different formula with a given Slant Height.

Let me check

Answer 4

Oops, nevermind. I see you got the height and the slant height mixed up! It should be 12 for h, not 15.

So our formula is \(\large \rm V = \frac{\pi r^2 h}{3}\) now we plug in the values given

Radius = r = 9
Height = h = 12

\(\large \rm V = \frac{\pi \times 9^2 \times 12}{3}\)

First do the exponent \(\rm 9^2\)

\(\rm 9^2\) = \(\rm 9\times 9\) = \(\rm 81\)

So now we plug in \(\rm 81\) where \(\rm 9^2\) was in the equation.

\(\large \rm V = \frac{\pi\times 81 \times 12}{3}\)

Next we multiply \(\rm 81 \times 12\) to get \(\rm 972\), so now, plugging in \(\rm 972\) where \(\rm 81\times12\) was, we have

\(\large \rm V = \frac{\pi\times 972}{3}\)

Next step is to divide \(\rm 972\) by \(\rm 3\), so what is \(\rm 972 \div 3\) ?

There is one last step after this one, but I will explain it after you have solved the step above :)