Question

the radius of cylinder is 6.3 inches, and the height is 10.37 inches. which equation can be used to find v, the volume of the cylinder in cubic inches?
\\(\bigcirc\\ v = \pi(10.37)^2(6.3)\\)
\\(\bigcirc\\ v = \pi(3.15)^2(10.37)\\)
\\(\bigcirc\\ v = \pi(5.185)^2(10.37)\\)
\\(\bigcirc\\ v = \pi(6.3)^2(10.37)\\)

Explanation:

Step1: Recall cylinder volume formula

The volume of a cylinder is given by $V = \pi r^2 h$, where $r$ is the radius and $h$ is the height.

Step2: Identify given values

Radius $r = 6.3$ inches, height $h = 10.37$ inches.

Step3: Substitute values into formula

Substitute $r=6.3$ and $h=10.37$ into the volume formula: $V = \pi(6.3)^2(10.37)$

Step4: Match with options

Compare the derived equation to the provided choices.

Answer:

$V = \pi(6.3)^2(10.37)$