Question

What is the volume, in cubic inches, of the cylinder below?

Answer 1

`\boxed{\mathrm{108 \pi \;cubic\; inches}}`

3rd Choice

Explanation:

Volume of a cylinder V is given by the equation:

`V = \pi r^2h\\\\\textrm{where r = radius of the cylinder}\\\\\textrm{and, h = height of the cylinder}\\\\`

`\textrm{From the diagram we see the diameter of the cylinder = 6 in }\\\\\mathrm{radius = (diameter)/(2) }\\\\\mathrm {So\; radius = (6)/(2) = 3\;in}\\\\`

`\mathrm{h = 12\;in}\\\\\\\\\mathrm{V= \pi \cdot 3^2 \cdot 12}\\\\\mathrm{V = \pi \cdot 9 \cdot 12}\\\\\mathrm{V = 108 \pi}`

Answer

Volume of cylinder =
`\boxed{\mathrm{108 \pi \;cubic\; inches}}`