A cylinder has a radius of 4 cm and a height of 10 cm. Find its volume in terms of π.
Solution
Problem
A cylinder has a radius of 4 cm and a height of 10 cm. Find its volume in terms of π.
The volume of a cylinder is given by:
V = πr^2h
Substitute r = 4 and h = 10:
V = π(4^2)(10)
Simplify:
V = π(16)(10)
V = 160π
Therefore, the volume of the cylinder is 160π cm³.
Result
160π cm³