Question

Claire says that she can find the volume of any cylinder as long as she can measure the circumference and height is she correct

Answer 1

Yes, she is correct. Volume of the cylinder is V = πr²h. Therefore we need height and radius to calculate the volume. Height is given and the radius can be calculated from the circumference.

Explanation:

Volume of cylinder

`V = \text{area of circle} * \text{height}\\V = \pi r^2 * h`

For the volume of the cylinder we need the radius of the circle and height of the cylinder. The height is already known.

We can find the radius from the circumference.

Cirumference of the circle

`C = 2 \pi r`

We can get the radius from rearranging the equation.

`r = (C)/(2 \pi)`

Since C (circumference) is known we can easily calculate the radius.

With that we have all the needed information (height and radius) to calculate the volume of the cylinder.