Question

What is x, if the volume of the cylinder is 768 pi cm3? Do not use units or commas in your answer.

Answer 1

48

Explanation:

We have that the volume of a cylinder is given by:

V = pi * (r ^ 2) * h

In this case we know the diameter, we know that the radius is half the diameter like this:

r = d / 2

r = 8/2

r = 4

Now we know that the V equals 768 pi

we replace and we have:

768 * pi = pi * (4 ^ 2) * h

768 = 16 * h

h = 768/16

h = 48

Therefore the value of x would be 48 cm