Cylinders
To find the volume of a cylinder, use the formula: volume = pi × radius squared × height or \(V = \pi {r^2}h\).
The first part of the formula \(\pi {r^2}\) is equal to the area of one base. Then the area is multiplied by the height. Can you see how this is related to our work with prisms? Whether working with a prism or a cylinder, volume is equal to the area of one base multiplied by the height.
What is the volume of a cylinder with a radius of 10 feet and a height of 11 feet?
Use the formula to calculate the correct answer.
\(\begin{array}{l}V = \pi {r^2}h\\\;\;\;\, = 3.14\,\,\times \,\,{10^2}\times\,\,11\\\;\;\;\, =3.14\,\,\times \,\,100\,\,\times \,\,11\,\\ \;\;\;\,=3,454\;{\rm{ cubic\,feet}}\end{array}\)
Answer: The volume of the cylinder is approximately 3,454 cubic feet.
