In the following question, two statements, (i) and (ii), are given. Choose the valid statement. i. The radius and height of a core are in the ratio 3 : 4 and its volume is 301.44 cm3. If $\pi$ = 3.14, then its radius will be 6 cm. ii. Volume of cylinder = $\frac{1}{3}$$\pi$r^2h

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Only (i) Explanation: Statement (i) is valid because substituting r = 3x and h = 4x into the cone volume formula gives $\frac{1}{3}$ $\times$ 3.14 $\times$ 9x^2 $\times$ 4x = 301.44, which simplifies to x3 = 8 or x = 2, confirming a radius of 3(2) = 6 cm. Statement (ii) is invalid because $\frac{1}{3}$$\pi$r^2 h is the formula for the volume of a cone, not a cylinder.

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