Question

Volume of a Cone: Consider a cone with a radius (r) and a height (h). Use cylindrical coordinates to find its volume.

a) V = (1/3)π r^2 h
b) V = π r h)
c) V = (1/2)π r^2 h
d) V = π r^2 h

Answer 1

The volume of a cone can be found using the formula V = (1/3)πr²h, representing one-third of the volume of a cylinder with the same base and height.

Step-by-step explanation:

The volume of a cone can be found using cylindrical coordinates. The correct formula for the volume of a cone is V = (1/3)πr²h. This formula represents the cone as one-third of the volume of a cylinder with the same base and height.