Question

A cylinder has a height of 23 m and a volume of 18,488 m³. What is the radius of the cylinder? Round your answer to the nearest whole number. 256 m 50 m 32 m 16 m

Answer 1

h = 23v = 18488
((3.14)r^2)h = v((3.14)r^2)23 = 18488(3.14)r^2 = 804r^2 = 256r = 16
16m

Answer 2

Option D - Radius =16 m

Explanation:

Given : A cylinder has a height of 23 m and a volume of 18,488 m³.

To find : What is the radius of the cylinder?

Solution : Formula of Volume of the cylinder

`V=\pi r^2* h`

where V is the volume, r is the radius and h is the height.

To find radius the formula became,

`r=\sqrt{(V)/(\pi* h)}`

Substitute h=23 m,
`V=18,488 m^3`and
`\pi =3.14`

`r=\sqrt{(18488)/(3.14* 23)}`

`r=\sqrt{(18488)/(72.22)}`

`r=√(255.99)`

`r=15.99`

Approximately, Radius is 16 m

Therefore,Option D is correct.