The radius and height of a right circular cone are in the ratio 3 : 7. If the volume of the cone is 528 cm3. Then what is the height of the cone? (Take π = 22/7)
Answer
Correct Answer : d ) 14 cm
Explanation :
Let the radius of cone be 'r'.
Let the height of the cone be 'h'.
It is given that
The ratio of radius and height of the cone is r : h = 3 : 7
r/h = 3/7
r = 3h/7 ......(1)
Volume of the cone (V) = 528 cm3
We know that,
Volume of the cone (V) = (1/3)πr2h
(1/3)πr2h = 528 .....(2)
Putting eq. 1 in eq. 2
(1/3)π(3h/7)2h = 528
(22 * 9 * h3)/(3 * 7 * 49) = 528
h3 = 528 * 3 * 7 * 49/ (22 * 9)
h3 = 2744
h = 14
Hence, (d) is the correct answer.
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