Question

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

a. 2x
b. 4x²
c. πx²
d. 4πx²​

Answer 1

The expression that represents the radius of the cylinder is 2x.

Step-by-step explanation:

The volume of a cylinder is given by the formula V = πr2h, where V is the volume, r is the radius, and h is the height. In this case, the volume is given as 4x cubic units and the height is x units. We can substitute these values into the formula and solve for the radius:

4x = πr2x

Dividing both sides by πx, we get:

4/r2 = 1

Taking the reciprocal of both sides, we get:

r2/4 = 1

Multiplying both sides by 4, we get:

r2 = 4

Taking the square root of both sides, we get:

r = 2

Therefore, the expression that represents the radius of the cylinder is 2x.