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
The units have to match.  18 inches = 1.5 feet
{{{Vol = pi*r^2*h/3 = Base area*h/3}}} = 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*r*h}}}