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

The value of $\pi$ is approximately 3.14.

Step2: Calculate volume of cylinder

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

Step3: Determine volume units

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

Step4: Identify V 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