SOLUTION: A right circular cone has a base area of six square feet and a height of 18 inches. A) find the volume of the cone in cubic units B) find the volume of the cone in litres (to

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: A right circular cone has a base area of six square feet and a height of 18 inches. A) find the volume of the cone in cubic units B) find the volume of the cone in litres (to      Log On

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Question 932189: A right circular cone has a base area of six square feet and a height of 18 inches.
A) find the volume of the cone in cubic units
B) find the volume of the cone in litres (to simplify the calculation, use 1inch=2.5 cm)
C) find the exact area of the cone in square feet

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A right circular cone has a base area of six square feet and a height of 18 inches.
A) find the volume of the cone in cubic units
The units have to match. 18 inches = 1.5 feet
Vol+=+pi%2Ar%5E2%2Ah%2F3+=+Base+area%2Ah%2F3 = 3 cubic feet.
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B) find the volume of the cone in litres (to simplify the calculation, use 1inch=2.5 cm)
1 inch = exactly 2.54 cm, why use 2.5?
1 liter = 1000 cc
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C) find the exact area of the cone in square feet
Base area = pi*r^2 = 6 sq ft.
Solve for r.
Use the Pythagorean Theorem to find the slant height.
Slant+area+=+pi%2Ar%2Ah