Question

A 152 cm tall barrel has a circumference of 56.52.
What is the volume of the barrel using the formula for the volume of a cylinder as an estimate?
Use 3.14 for the value of π. Note V=πr^2h.
__cm^3

Answer 1

Answer:

V = 38659.68 cm^3

Step-by-step explanation:

If we pretend A barrel is a cylinder we use V=πr^2h for the volume.  We know h, but we need to find r

The question tells us the circumference, well how do we find circumference? C = 2πr, so we can use this to find r.

C = 2πr

56.52 = 2 * 3.14 * r Here divide both sides by 2*3.14

56.52/(2*3.14) = r

9 cm = r

Now we can just plug into the volume.

V=πr^2h

V = 3.14 * 9^2 * 152

V = 38659.68 cm^3

I feel I should mention this is all true if the circumference is in centimeters, since the question didn't specify.