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?

Answer 1

Answer:

The Volume of the cylinder is cubic units

Therefore cubic units

Step-by-step explanation:

Given that the height of a cylinder is equal to twice the radius of its base

Let r be the base radius of the given cylinder

The given height can be written as h=2r cm

To find the volume of the cylinder:

Volume of the cylinder is cubic units

Now substituting the values in the above formula we get

cubic units

cubic units

Therefore the Volume of the cylinder is cubic units

Therefore cubic

Answer 2

$\Large{\underline{\underline{\mathfrak{\bf{Question}}}}}$

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

What expression represents the volume of the cylinder, in cubic units?

$\Large{\underline{\underline{\mathfrak{\bf{Solution}}}}}$

$\Large{\underline{\mathfrak{\bf{Given}}}}$

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

$\Large{\underline{\mathfrak{\bf{Find}}}}$

• Area of cylinder

$\Large{\underline{\underline{\mathfrak{\bf{Explanation}}}}}$

Let, x be the radius of the cylinder .

A/c to question,

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

$:\mapsto\sf{\red{\:Height_{cylinder}\:=\:2x}}$

Volume Formula of cylinder

$\boxed{\sf{\orange{\:Volume_{cylinder}\:=\:\pi.(radius)^2.(Height_{cylinder})}}}$

substitute value of radius and height and π = ,

$:\mapsto\sf{\:Volume_{cylinder}\:=\:\pi.(x)^2.(2x)} \\ \\ :\mapsto\sf{\pink{\:Volume_{cylinder}\:=\:2\pi.x^3}}$

$\Large{\underline{\mathfrak{\bf{Thus}}}}$

• The expression that represent volume of the cylinder is 2πx³ cubic units.