The volume of a cylinder is given by the formula

V = r2h,
where r is the radius and h is the height. Find the height in m if the volume is 6,550 m3 and the radius is 13.0 m.

1 answer

To find the height, we need to rearrange the formula to solve for h:
V = r^2h
h = V / (r^2)

Plugging in the given values:
h = 6,550 m^3 / (13.0 m)^2

Calculating:
h = 6,550 m^3 / 169 m^2

h ≈ 38.77 m

Therefore, the height is approximately 38.77 meters.