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.

6 0

2 years ago

A scientist removed a sample of 39.1 grams of a chemical from a container. The sample was 5 3/4 grams less than 3/10 of the tota

Verizon [17]

The total mass was 149.5 grams.

Setting up an equation, we have that the sample size, 39.1, is 5 3/4 (5.75) grams less than 3/10 of the total mass; this gives us

39.1 = 3/10x - 5.75

Adding 5.75 to both sides, we have
44.85 = 3/10x

Multiplying both sides by 10,
448.5 = 3x

Dividing both sides by 3,
149.5 = x

4 0

3 years ago