Question

question in the comments
volume=1256m(cubed)
diameter=?
my answer: 96.6

Answer 1

was my answer correct

Answer 2

is my answer correct

Answer 3

volume is area of the base times the height
the height is 13 m
the area of the base is pi r^2
so
pi r^2 13 = 1256
or
pi r^2 = 1256/13 = 96.62

and r^2 = 96.62/pi
or
r^2= 30.75 (roughly)
r is sqrt(30.75) = 5.55

2r is the diameter = 11.1

Answer 4

You found the area of the base of the cylinder.

Answer 5

in simpler words i get how volume is area of the base times the height, but how did you get the diameter

Answer 6

If we call the area of the base A, we can say the volume is
A*13 which equals 1256 (because they told us the volume is 1256)

if we divide both sides by 13:
A*13/13 = 1256/13
or
A = 1256/13
or
A= 96.6 (roughly)
the area of the base is 96.6 square meters

the base is a circle, with an unknown radius (call it r) and an unknown diameter = 2*r
however, we know the area of a circle is pi*r*r
in other words
pi*r^2 = 96.6
divide both sides by pi
r^2 = 96.6/pi = 38.75

take the square root of both sides to "solve for r"
r= 5.55 meters

the diameter is 2 times the radius, so the diameter is 11.1