Question

The height of a cylinder is twice the radius of its base. A cylinder has a height of 2 x and a radius of x. What expression represents the volume of the cylinder, in cubic units? 4πx2 2πx3 πx2 + 2x 2 + πx3

Answer 1

Answer:

volume of the cylinder = 2π$x^{3}$

Step-by-step explanation:

The height of a cylinder is twice the radius of its base.

Let the height of the cylinder = 2x

Let the radius of the cylinder = x

By formula, volume of the cylinder = π$r^{2}$ h

here r = x, h = 2x

substituting the values in the equation, we get

volume of the cylinder = π$r^{2}$ h =  π $x^{2}$ (2x)

volume of the cylinder = 2π$x^{3}$

Answer 2

The expression that represents the volume of the cylinder is 2x³π.

What is the volume of the cylinder?

A cylinder is a three-dimensional object that is made up of a two circles that are attached to a rectangle.

Volume of a cylinder = πr²h

2xπx² = 2x³π.

To learn more about to determine the volume of a cylinder, check: https://brainly.com/question/9624219

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