Answer:
The diameter is 7.9 units. The option closest to it is 7 units.
Step-by-step explanation:
The formula for volume of cylinder is = V = [tex]\pi r^{2} h[/tex]
We have been given that the volume of the cylinder is 254 cubic units.
The height is given as = 5 units
We have to find the diameter of the cylinder.
Putting the values in the formula we get:
[tex]245=3.14*r^{2} *5[/tex]
[tex]r^{2} = \frac{245}{3.14*5}[/tex]
[tex]r^{2} =15.60[/tex]
This gives r = 3.95 units
Now diameter is double of radius so, diameter is = [tex]2*3.95=7.9[/tex] units.
The diameter is 7.9 units. The option closest to it is 7 units.
We can check the validity of the answer by putting r=3.95 in the formula.
[tex]3.14*3.95^{2}*5[/tex] = 244.959 ≈ 245 cubic units.
