Question

A cylinder has a base radius of 4m and a height of 6m. What is its volume in cubic m, to the nearest tenths place?

Answer 1

301.6 cubic meters

Explanation:

A cylinder is a shape with straight sides with circular or oval cross-sections. We know that the cylinder in the question must be a circular cylinder due to its radius description.

Volume Formula

A circular cylinder has a volume of
`V=\pi r^2h`. In this equation, V is the volume, r is the radius, and h is the height. The question tells us that r=4m and h=6m. So, we can plug these values into the formula.

Solving for Volume

To solve plug the values into the formula and rewrite the equation.

• 
  `V=\pi *4^2*6`

Next, apply the exponents.

• 
  `V=\pi *16*6`

Then, multiply the constants.

• 
  `V=\pi *96`

Finally, multiply the remaining terms. Remember to use the pi button on the calculator and not an estimation to get a more exact value.

• 
  `V=301.6`

Make sure your answer is rounded to the correct digit. This means that the volume must be 301.6 cubic meters.