Question

A cylinder has a volume of 245 cubic units and a height of 5 units. The diameter of the cylinder is 7 units 14 units 49 units

Answer 1

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 = $\pi r^{2} h$

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:

$245=3.14*r^{2} *5$

$r^{2} = \frac{245}{3.14*5}$

$r^{2} =15.60$

This gives r = 3.95 units

Now diameter is double of radius so, diameter is = $2*3.95=7.9$ 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.

$3.14*3.95^{2}*5$ = 244.959 ≈ 245 cubic units.

Answer 2

Volume=(pi)(radius^2)(height)
245(pi)=(pi)(r^2)(5)
245=(r^2)(5)
49=r^2
radius=7
diameter=14