Question

If the circumference (c) of a cylinder is 1/6 times of the height of the cylinder, find its volume it terms of its circumference​

Answer 1

Appyl the formula of volume to get answer

Answer 2

It is given that the circumference is one-sixth of the height.

Step-by-step explanation:

• The volume of a cylinder is $\pi r^{2} h$
• Here r is the base radius and h is the height.
• Circumference is $2\pi r$
• It is given that the circumference is one-sixth of the height.
• This means that the circumference = 1/6h
• So, circumference = $2\pi r$ = 1/6h
• So, h = $12\pi r$ = 6 x circumference
• Therefore, volume is $\pi r^{2}$ x 6 x circumference.
• Above is the volume is given in terms of the circumference.
• Hence, the volume is 6 times pi into radius square into the circumference.