Question: A round water tank has a diameter of 2m and a volume of 3 140 000 cm,what is the height?
The volume of a cylinder is given by
V = pi.R^2.h
We have R = 1 m = 100 cm
V = 3, 140, 000 cm^3
Using the formula,
3,140,000 = pi.(100)^2.h = pi.h*10,000
Dividing both sides by 10,000 and rearranging,
pi.h = 314
h = 314/pi
Using pi = 3.14 approx (pi = 3.14159...)
h = 100 cm = 1 m
Answer: h = 1 m