Question
The volume of a cone is 128Ï€ cubic centimeters. If the
radius of the base is 4 cm, find the height of the cone.Solution
The volume V of a cone is given by the formula: V = (1/3)πr²h where r is the radius of the base and h is the height. We are given that V = 128π and r = 4 cm. Substitute the values into the formula: 128π = (1/3)π(4)²h 128π = (1/3)π × 16 × h 128 = (16h)/3. Multiply both sides by 3: 384 = 16h → h = 384/16 = 24 cm. Correct answer: d. 24 cm
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