What is the volume of the cylinder shown

radius=2x and height=3y
2(pie)r^2h

and can you help with one more question please

What is the volume of the cube?
the sides are
4n^3 ,4n^3 and 4n^3

1. 2(pie)r^2h is the formula for volume of a cylinder. Plug in your data. 2(3.14)2x^2(2y). Simplify.
6.28(2x)^2(3y) is the answer, I believe, because you have no more data and it cannot be simplified more.

2. Easy. Volume of cube= LxWxH, so 4n^3x4n^3x4n^3= 64n^3

Answers are= 1. 6.28(2x)^2(3y)
2. 64n^3



Edit: After seeing Mark's answer. His is wrong, he forgot both circles on the ends of the cylinders, and I don't believe his cube answer is correct.

ince the end (base) of a cylinder is a circle, the area of that circle is given by
π r^2

Multiplying by the height h we get

π r^2h
where:
π is Pi, approximately 3.142
r is the radius of the circular end of the cylinder
h height of the cylinder

volume= π 4x^2*3y

=π 12x^2

2. volume of the cube is (4n^3)^3

The second problem is:
if it is 4(n^3)
Volume= 4n^3*4n^3*4n^3 = (4n^3)^3 = 4^3 n^9 = 64n^9

if it is (4n)^3
Volume= (4n)^3*(4n)^3*(4n)^3 = ((4n)^3)^3 = (4n)^9