Question : A cylindrical tank of capacity $64\pi$ litres has equal height and radius. What would be the radius of the cylinder? (1 litre = 1000 cm3)
Option 1: 5 cm
Option 2: 40 cm
Option 3: 50 cm
Option 4: 4 cm
Correct Answer: 40 cm
Solution : Let the height and radius of the cylinder be $x$. Given volume = $64\pi$ litres = $64000\pi$ cm 3 We know that, Volume of the cylinder = $\pi r^2h$ So, $\pi\times x^2\times x=64000\pi$ ⇒ $x^3=64000$ $\therefore x= 40$ Hence, the correct answer is 40 cm.
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