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Judy has a sugar cone and wants to know how many cubic inches of ice cream it will hold if it is filled completely to the top of

the cone and no more. The cone has a height of 4.5 inches and a radius of 1.5 inches.
work shown understandbly

User Ucarion
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1 Answer

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Recall that the equation to solve for the volume of a cone is 1/3 * area of base * h

Since we have the radius and the height of the cone, we can put these into an equation:

1/3 * π(1.5)^2 * 4.5
(π(1.5)^2 is because we need to use the equation of the area of a circle in order to find the area of the base)

Square the 1.5:
1/3 * 2.25π * 4.5

The value of π is 3.14, so input that value:
1/3 * 2.25(3.14) * 4.5

Multiply 2.25 and 3.14:
1/3 * 7.065 * 4.5

Multiply all the values (You should use a calculator for this last part, since doing this by hand is a bit impractical):

1/3 * 7.065 * 4.5 = 10.5975

The sugar cone must be filled with 10.5975 cubic inches of ice cream.
-T.B.

User Chris Arriola
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