Question

a cylinder and its dimensions are shown in the diagram.which equation can be used to find $v$, the volume of the cylinder in cubic inches?a $v=\pi(2.5h)^2$b $v=\pi(5h)^2$c $v=\pi(2.5)^2h$d $v=\pi(5)^2h$8.the diameter of a cylinder is 2.5 inches, and the height is 7.5 inches. which used to find $v$, the volume of the cylinder in cubic inches?f $v=\pi(2.5)^2(7.5)$g $v=\pi(7.5)^2(2.5)$h $v=\pi(1.25)^2(7.5)$j $v=\pi(3.75)^2(2.5)$

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.

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For the first question:

Step2: Calculate radius from diameter

The diagram shows a diameter of 5 in, so radius $r = \frac{5}{2} = 2.5$ in.

Step3: Substitute radius into formula

Substitute $r=2.5$ into $V = \pi r^2 h$:
$V = \pi(2.5)^2 h$

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For question 8:

Step2: Calculate radius from diameter

The diameter is 2.5 in, so radius $r = \frac{2.5}{2} = 1.25$ in.

Step3: Substitute values into formula

Substitute $r=1.25$ and $h=7.5$ into $V = \pi r^2 h$:
$V = \pi(1.25)^2(7.5)$

Answer:

First question: C. $V = \pi(2.5)^2 h$
Question 8: H. $V = \pi(1.25)^2(7.5)$