The volume of a cylinder is 47x cubic units and its height is x units.
Which expression represents the radius of the cylinder, in units?
O 2x
O 4x
O 2pix2
O 4pix2

Answer:

2x

Step-by-step explanation:

The volume of the cylinder is given by the following formula:

pi.r².h

4pix³ = pi x r² x x

r² = 4pix³/pix

r² = 4x²

Rooting both sides

r = 2x

r=2x is the expression represents the radius of the cylinder.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given that volume of a cylinder is 4πx³ cubic units and its height is x units.

We need to find the expression which  represents the radius of the cylinder.

The volume of the cylinder is given by the following formula:

π.r².h

4πx³ = π x r² x x

Divide both sides by π x

r² = 4πx³/πx

r² = 4x²

Take square root on both sides

r = 2x

Hence, r=2x is the expression represents the radius of the cylinder.

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