The circumference of a circle is 132 cm. The radius of the given circle is equal to the radius of a cone having height 12 cm. Find the volume of the cone. (Take π = 22/7)
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Correct answer: D
Explanation
Given:
Circumference of the circle = 132 cm
Height of the cone = 12 cm
π = 22/7
By the formula:
Circumference = 2πr
2πr = 132
2 × 22/7 × r = 132
44r/7 = 132
r = 21 cm
Volume of the cone = (1/3)πr²h
Volume of the cone = (1/3) × 22/7 × 21² × 12 = 5544 cm³