How do you determine the amount of liquid a paper cone can hold with a 1.5-inch diameter and a 5-inch height if the volume formula is given by #Volume = (pi r^2 (h))/3# , where r= the radius , and h= the height of the cone?

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Answer 1 · 2018-05-30T01:49:48

#approx 2.945# cubic inches of liquid

We are given the volume of a cone is:

Volume #= 1/3pir^2h#

We are told that our cone has a diameter of 1.5 inches and a height of 5 inches.

Radius # (r) = 1/2 xx# Diameter

#:. r = 1.5/2 = 0.75# inches

Applying the formula above:

Volume #=1/3xxpixx0.75^2 xx5#

#approx 1/3xx 3.14159 xx 0.5625 xx5#

#approx 2.945# cubic inches

Hence our cone can hold approximately 2.945 cubic inches of liquid.