What is the difference between the amount of wax needed to make a cylindrical candle with a radius of #"2 in"# and a height of #"4 in"#, and a spherical candle with a radius of #"2 in"#? Use #3.14# for #pi#.

1 Answer
Meave60 · smendyka
Jul 28, 2017

The answer is #"16.75 cubic inches"#.

Explanation:

In order to determine the amount of wax needed to make a cylindrical or spherical candle, you need to know the volume of both the cylinder and sphere.

The formula for volume of a cylinder is: #V=pir^2h#

The formula for volume of a sphere is: #V=4/3pir^3#

Volume of Cylinder

#pi=3.14#

#r="2 in"#

#h="4 in"#

Plug the known values into the formula for the volume of a cylinder.

#V=pixx(2"in")^2xx4"in"="50.24 in"^3#

Volume of Sphere

#pi=3.14#

#r="2 in"#

Plug the known values into the formula for the volume a sphere.

#V=4/3xx3.14xx(2"in")^3=33.49#

Difference in Volumes

#50.24"in"^3-33.49"in"^3="16.75 in"^3#

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