Question

The volume of a cylinder of radius 3r and height 6r is given by TT(3r)2(6r). Simplify the expression.

Answer 1

Answer: $\pi 36r^{2}$

Step-by-step explanation:

ALRIGHT ARE YOU READY FOR EPIC MATH TIME?

because i know i am. so lets get this bread.

WATCH: we have $\pi (3r)2(6r)$

interesting... that first character is called pi. maybe i should have said, "lets get this pi".

so now lets do some algebra. i am going to work from right to left. lets multiply 6r by 2. that gives us 12r. now we have... $\pi (3r)(12r)$

WE ARE MAKING EPIC PROGRESS, AREN'T WE?

lets multiply 12r by 3r. then we have....

$\pi 36r^{2}$

notice how i multiplied 12 by 3 and also r by r (which gives 36 and $r^{2}$ respectively)

so your simplified expression is: $\pi 36r^{2}$