A pile of sand is in the form of a right circular cone with altitude 10 feet and slant height 30 feet. Find the ground area covered by the sand.
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let r be the radius of the base of the pile of sand
by Pythagorean Theorem ⟹ r 2 = 3 0 2 − 1 0 2 = 8 0 0 ⟹ r = 8 0 0
solving for the area of the base ⟹ A = π r 2 = π ( 8 0 0 ) 2 = 8 0 0 π