Question

The volume of the cylinder is 18,136.64 cubic feet. what is the height? use pie and round your answers to the nearest hundredth.

Answer 1

Question:

Solution:

The volume of a cylinder is given by the formula:

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

where r and h are the radius and height of the cylinder, respectively. Now, replacing the data of the problem into the previous equation, we obtain:

$18136.64\text{ =(3.14)}19^2h$

this is equivalent to:

$18136.64\text{ =(3.14)(361)}^{}h$

this is equivalent to:

$18136.64\text{ =1133.54}^{}h$

solving for h, we obtain:

$h\text{ = }\frac{18136.64}{1133.54}\text{ = 16}$

then, we can conclude that the correct answer is:

$h\text{ = 16}$