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The area of the curved surface and the area of the base of a right circular cylinder are a square cm and b square cm respectively. The height of the cylinder is
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2a cm √πb -
a√b cm 2√π -
a cm 2√πb -
a√π cm 2√b
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Correct Option: C
Curved surface of cylinder = 2πrh = a
Area of base = πr² = b
∴ 2πrh = a
⇒ 4π²r²h² = a² ⇒ 4πbh² = a²
⇒ h² = | ||
4πb |
⇒ h = | cm. | |
2√πb |