Question

A right circular cylinder has a volume of 500 cu in. If the base has a radius of 4 in., what's the altitude of the cylinder? Round your answer to two decimal places. A. 31.25 in. B. 19.79 in. C. 9.95 in. D. 29.84 in

Answer 1

c. 9.95 in

Step-by-step explanation:

formula for area of a cylinder: πr^2*h

Answer 2

Hello!

The area of a cylinder formula- Area = Pi * radius squared * height

In this case we are looking for height (altitude)

plug in our known values

500 = area
4 = radius
Pi ~ 3.141592654

to find height...

500 = 3.141592654 * (4)^2 * height

500 = 3.14 * 16 * height

500 = 50.26 * height

divide both sides by 50.26..

9.947 = height


9.95 is the Correct Answer ( letter C)

Hope this Helps! Have A Wonderful Day! :)