Question

A cylinder has a diameter of 10 and a height of 12 what is the volume of the cylinder give an exact answer or approximation to three decimals

Answer 1

STEP - BY - STEP EXPLANATION

What to find?

Volume of a cylinder.

Given:

Diameter = 10

Height = 12

Step 1

Recall the formula for volume of a cylinder.

$Volume=\pi r^2h$

Where r is the radius and h is the height.

Step 2

Determine the height and radius of the cylinder.

From the question, we already know that the height (h) = 12

$\begin{gathered} Radius=\frac{Diameter}{2} \\ \\ =\frac{10}{2} \\ \\ =5 \end{gathered}$

π=3.14

Step 3

Substitute the values into the formula.

$Volume=3.14159265359\times5^2\times12$$\approx942.478$

ANSWER

942.478 cubic units.