The volume of a cylinder is 4πx3 cubic units and its height is x units. which expression represents the radius of the cylinder, in units?

2x
4x
2πx2
4πx2

we know that

The volume of a cylinder is equal to

where

r is the radius of the base of the cylinder

h is the height of the cylinder

In this problem we have

substitute in the formula

Simplify

Square root both sides

therefore

the answer is the option

Hence the radius of cylinder is 2x units.

Step-by-step explanation:

We are given a volume of cylinder= 4πx^3 cubic units.

Height of cylinder (h)= x units.

Let r represents the radius of cylinder.

As we know that volume of cylinder (V) is given as:

i.e. on comparing the formula and the given quantity we have:

(since on taking square root on both the side

also radius cant be negative)

Hence we get:

Hence the radius of cylinder is 2x units.

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3