Question

Find the radius of a cylinder with a volume of 188.5 feet³ and height of 15 feet.

Answer 1

the formula for the volume, is V = (pi)r^2(h)
so if the volume is 188.5; and the height is 15; we enter that information in the formula
188.5 = (pi)r^2(15)
we pass the 15 to the other side, since its multiplying it; we divide both sides by it
188.5/15 = (pi)r^2 15/15
12.5666 = (pi)r^2 (1) ------ times one, is the same thing
12.5666 = (pi)r^2
now we pass the (pi) = 3.14 or 22/7; in this case we can use 3.14; which it will end as a approximation
12.5666/ 3.14 = r^2
4.0021 = r^2 --- approximately 4
4 = r^2
to figure that part out we find the square root of each
*sqrt(4 = r
2 = r
r = 2
so the radius will equal to 2