Mary wants to fill in a cylinder vase. At the flower store they told her that the vase should be filled 3/4 for the flowers to last the longest. Her cylinder vase has a radius of 2 in and a height of 9 in. How much water should Mary pour into the vase?

Mathematics · High School · Tue Nov 03 2020

Answered on

To calculate for the volume of a cylinder, multiply height, pi and radius squared or volume = π * radius² * h. In this case, the cylinder vase has the dimensions of 2 inches in radius and 9 inches in height. Substitute the values to get the volume of the cylinder using the formula volume = π * radius² * h
> volume = π * radius² * h
> volume = 3.14 * 2² * 9
> volume = 3.14 * 4 * 9
> volume =  113.04 cubic centimeter
Since flower store told Mary that the vase should be filled 3/4 for the flowers to last the longest, multiply 113.04 by 3/4 to get the desired amount of water Mary has to pour into the vase.
> 113.04 x 3 /4
> 339.12 /4
> 84.78 cubic centimeters.
Mary has to pour  84.78 cubic centimeters of water into the vase.