The diameter of a right circular cylinder is decreased to one third of its initial value.If the volume of the cylinder remains the same, then the height becomes how many times of the initial height?
Show answer & explanation
Correct answer: B
Explanation
Correct answer is option 2 i.e. 9
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Understanding |
Application |
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The diameter of a right circular cylinder is decreased to one third of its initial value. |
Suppose, Initial radius = r Then, Decreased radius = r/3 Suppose heights are h and H respectively. |
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Volume of the cylinder remains the same. |
πr2h = πr2H/9 ⇒ h/H = 1/9 ⇒ H = 9h Hence, height becomes 9 times of the initial height |