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

Answer:

Option D - Radius =16 m

Step-by-step 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

$V=\pi r^2\times h$

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

To find radius the formula became,

$r=\sqrt{\frac{V}{\pi\times h}}$

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

$r=\sqrt{\frac{18488}{3.14\times 23}}$

$r=\sqrt{\frac{18488}{72.22}}$

$r=\sqrt{255.99}$

$r=15.99$

Approximately, Radius is 16 m

Therefore,Option D is correct.

Answer 2

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