Cylinder is 9 inches high, and has a base with a radius of 5 inches. If you fill half the cylinder with water, what volume of water would that be?

Mathematics · Middle School · Tue Nov 03 2020

Answered on

Given:

h = 9 

r = 5

Determine the voume of water if it fills half of the cylinder.

Formula for the volume of cylinder:

V=πr^2h

Solution:

Substitute the values of r and h to the formula for the volume of cylinder.

V=π(5in)^2(9in)

V=π(25in^2)(9in)

V=225πin^3

V =706.86 in^3

Since the water fills half of the cylinder, we will divide the total volume of the cylinder by two in order to get the volume of the water.

V of water =706.86 in^3 /2

V of water =353.43

Final answer:

V of water =353.43