Answer: r=6
Step-by-step explanation:
<u>Step 1: Substitute for the known variables</u>
we know that the formula to find the volume of a cylinder is <u>V= πr²h</u>
π= 3.14
h= 12
r= ?
v=1,357
Plugging the numbers we know into the formula, we get:
1,357= 3.14xr²x12
1,357= 3.14x12xr² (because with the commutative property of multiplication you can multiply in any order)
1,357= 37.68 x r²
<u>Step 2: Get the variable term (the letter term) on the left</u>
37.68 x r²= 1,357
Now, divide by 37.68. (I know to divide because when you switch the 37.68x r² the other way around to r²x37.68, you are clearly multiplying and must do the inverse operation (opposite of multiplication; division) to solve the problem.
So,
r²= 1357÷37.68
r²= 36.0138004 ----> about 36.
r²= 36
This equation isn't over yet because we still have the exponent on the r. Whenever you see a letter squared (to the power 2) in an equation, the "inverse operation" is to take the square root of both sides. Look:
r²= 36
The square root of r² is just r, because r x r = r²
The square root of 36 is 6, because 6x6=36.
Now we have :
r= 6
Step 3: Check
Now we have all the variables. To check to make sure the radius is correct, "plug in"
V= π r²h
1,357= 3.14x6²x12
1,357= 3.14x36x12
1,357= 113.04x12
1,357= 1356.48
They said in the question that the volume is APPROXIMATLEY 1357, so I can just round 1356.48 --> 1356.5---> 1357. Now I am sure that the radius is 6.
Hope this helps :)) also brainliest would be appreciated :D
to rewrite our expression. Solving for 
in our Pythagorean identity we get that 
, so we can rewrite our expression as follows:
to completely simplify our expression:
