Question

(30 POINTS) A right circular cylinder has a base radius of 6 centimeters and a height of 12 centimeters. What is the voume of this cylinder? A:432π B:450π C:275π D:360π​

Answer 1

`\Huge \fbox{A. 432$\pi$}`

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Explanation:

Formula

The formula for the volume of a right circular cylinder is given by:

`\huge \fbox{V = $\pi$$*$$r^(2)$$*$h}`

Where
`V` is the volume,
`r` is the radius of the base, and
`h` is the height of the cylinder.

Solution

The base radius and height for this problem are 6 and 12 centimetres, respectively. We can use the following values as substitutes in the formula to determine the volume:

`\\\LARGE \boxed{\begin{minipage}{5 cm}\text{V = $\pi$$*$$6^(2)$$*$12}\\\text{V = $\pi$$*$36$*$12}\\\text{V = 432$\pi$}\end{minipage}}`

Therefore, the volume of the cylinder is 432π cubic centimeters.

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