Question

Find the missing dimension of the cylinder. Round your answer to the nearest whole number.

Answer 1

Answer:

97.7 cm

Step-by-step explanation:

The volume of a cylinder is given by the equation

$V=\pi r^2 h$

where:

r is the radius of the cylinder

h is the height of the cylinder

V is the volume

In this problem, we know that the volume of the cylinder is

$V=600,000 cm^3$

Here we are not given the height; here, let's assume it is

h = 20 cm

Therefore, we can re-arrange the equation to find the missing dimension, which is the radius of the cylinder:

$r=\sqrt{\frac{V}{\pi h}}=\sqrt{\frac{600,000}{\pi (20)}}=97.7 cm$

Answer 2

Answer:

The missing value is the height, and it's equal to 746 centimeters, approximately.

Step-by-step explanation:

The complete question is

Find the missing dimension of the cylinder. Round your answer to the nearest whole number. Volume = 10,000π in. The radius is 16

A cylinder volume is defined by

$V= \pi r^{2} h$

Where $V=600,000 }cm^{3}$ and $r=16cm$.

Replacing given values, we have

$600,000=\pi (16)^{2}h$

Solving for the height, we have

$h=\frac{600,000}{\pi 256} \approx \frac{600,000}{803.84} \approx 746$

Therefore, the missing value is the height, and it's equal to 746 centimeters, approximately.