Question

when calculating the volume of a cylinder, π is approximately equal to ___.
the volume of a cylinder with radius 5 inches and height 10 inches is approximately ___ cubic inches.
the volume of a cylinder is expressed in ___ units.
in the formula v = πr²h, v represents the ___ of the cylinder.

Explanation:

Step1: Recall value of pi

$\pi\approx3.14$

Step2: Use volume formula for cylinder

The volume formula of a cylinder is $V = \pi r^{2}h$. Given $r = 5$ inches and $h=10$ inches. Substitute values: $V=\pi\times(5)^{2}\times10=\pi\times25\times 10 = 250\pi$. Using $\pi\approx3.14$, $V\approx250\times3.14 = 785$ cubic inches.

Step3: Determine volume units

The volume of a three - dimensional shape like a cylinder is expressed in cubic units.

Step4: Identify variable in formula

In the formula $V=\pi r^{2}h$, $V$ represents the volume of the cylinder.

Answer:

1. $3.14$
2. $785$
3. cubic
4. volume