volume of a cone and a precious substance
A cone shaped container with a height of 15 feet and radius of 5 feet is filled with a substance that is worth $25/ft3. Find the total value of the substance in the container.
Find the volume of the substance in the container.
Volume = (πr2h)/3
Volume = (π×52×15)/3
Volume = (π×25×15)/3
Volume = (π×375)/3
Volume = π×(375/3)
Volume = π×(125)
Volume = (125π)ft3
Find the total value of the substance
If 1 ft3 is worth $25, then 125πft3 is worth $25 × 125π.
$25 × 125π = $3125π = $9812.5
The substance is worth $9812.5
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