Deternmine the volume of a cylinder with a radius of 5cm and a height of 30cm.

How long would it take it to fill this cylinder with water if you were using a fountain with a flow rate of 2400 mL/min? 1cm^3=1mL

v = π*25*3

as for the time, check the units:

(cm^3) / (cm^3/min) = min

To determine the volume of a cylinder, you can use the formula: V = πr²h, where V represents the volume, r represents the radius, and h represents the height of the cylinder.

In this case, the radius (r) is given as 5cm, and the height (h) is given as 30cm. Substituting these values into the formula, we have:

V = π(5cm)²(30cm)
V = π(25cm²)(30cm)
V = π(750cm²)
V ≈ 2356.19 cm³

Therefore, the volume of the cylinder is approximately 2356.19 cm³.

To calculate the time it would take to fill the cylinder with water using a fountain with a flow rate of 2400 mL/min, we need to convert the volume of the cylinder into milliliters (mL) since 1cm³ is equivalent to 1 mL.

So, the volume of the cylinder is also 2356.19 mL.

Dividing the volume by the flow rate will give us the time it takes to fill the cylinder.

Time = Volume / Flow rate
Time = 2356.19 mL / 2400 mL/min

Simplifying, we get:

Time = 0.9818 minutes

Therefore, it would take approximately 0.9818 minutes (or about 59 seconds) to fill the cylinder with water using the given fountain flow rate.