Question

Find the volume of the cylinder. Explain or show your reasoning. All measurements are in centimeters

Answer 1

200π cm³ (in term of π)

628 cm³ (when define π = 3.14)

Explanation:

Given:

• radius of circular base = 5
• height = 8

Volume of Cylinder:

`\displaystyle \large{V=\pi r^2h}`

If you notice, the volume of cylinder is area of circular base * height.

Input given information in the formula:

`\displaystyle \large{V=\pi \cdot 5^2 \cdot 8}`

Evaluate:

`\displaystyle \large{V=\pi \cdot 25 \cdot 8}\\\displaystyle \large{V=200 \pi}`

Since all measurements are in centimeters. Therefore, our unit is cm³ since we are finding volume which is three-dimensional.

Fact

• cm is used for one-dimensional measurement such as line.
• cm² is used for two-dimensional measurement such as area.
• cm³ is used for three-dimensional measurement such as volume.

However, you didn’t specific which π value/digit should we use so I’ll only put both solutions in where first being in term of π and second being 3.14.

Therefore, the volume is:

• 200π cm³
• 628 cm³