# Find the volume of a right circular cone having a slant height of 6 meters and an altitude of 4.5 meters.

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by alvinignacio

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by alvinignacio

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altitude = 4.5m

radius of the base of cone = r² = 6² - (4.5)²= 15.75

r= √15.75 = 3.968

Vol of cone = 1/3 area of base x altitude

thus

vol = 1/3 πr²a a = altitude

= 1/3 π (3.968)² * 4.5

~ 74.229m³

use pythagoras theorem to find the radius of the cone