Question

A cylinder has a height of 3 inches and a diameter of 3 inches. What is the volume of the cylinder?

Answer 1

`\displaystyle\\\text{If we have the radius of the circle, we use the formula: }\\V=\pi R^2\cdot h\\\\\text{If we have the diameter of the circle, we use the formula: }\\\\V=(\pi D^2)/(4)\cdot h\\\\\text{It is given:}\\{\bf D=3~in}\\{\bf h=3~in}\\\\\text{Is required:}\\{\bf V=?}\\\\\text{Solution:}\\\\V=(\pi D^2)/(4)\cdot h=(\pi 3^2)/(4)\cdot 3=(27\pi)/(4)=\boxed{\bf6.75\pi~in^2}`