Question : What is the height of a cylinder whose radius of base is 12 cm and volume is 19008 cm3? [Use $\pi=\frac{22}{7}$]
Option 1: 6 cm
Option 2: 24 cm
Option 3: 38 cm
Option 4: 42 cm
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Correct Answer: 42 cm
Solution : Given: radius, $r$ = 12 cm and volume is 19008 cm 3 . Let the height be $h$. The volume of the cylinder = $\pi r^2h$ According to the question, ⇒ $\frac{22}{7}\times {12}^2\times h=19008$ ⇒ $h=19008\times \frac{7}{144\times 22}=42$ cm Hence, the correct answer is 42 cm.
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