The volume of a cylinder is 47x3 cubic units and its height is x units Which expression represents the radius of the cylinder, in units? 2x 4x OOOO 20x² 47x2

Question

asked Sep 1, 2020 176k views

1 Answer

Valter Minute · Answer 1 · 2020-09-07T18:20:57+0000

Answer:

$r=2x\ units$

Explanation:

The correct question is

The volume of a cylinder is 4πx^3 cubic units and its height is x units. Which expression represents the radius of the cylinder, in units?

we know that

The volume of a cylinder is equal to

$V=\pi r^(2)h$

we have

$V=4\pi x^(3)\ units^3$

$h=x\ units$

substitute in the formula

$4\pi x^(3)=\pi r^(2)(x)$

simplify

4x^(2)=r^(2)

$r=2x\ units$