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The dimensions of a cone are measured using a scale with a least count of 2 mm. The diameter of the base and the height are both measured to be 20.0 cm. The maximum percentage error in the determination of the volume is ______.

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A ball is thrown from the location (𝑥0, 𝑦0 ) = (0,0) of a horizontal playground with an initial speed 𝑣0 at an angle 𝜃0 from the +𝑥-direction. The ball is to be hit by a stone, which is thrown at the same time from the location (𝑥1, 𝑦1 ) = (𝐿, 0). The stone is thrown at an angle (180 − 𝜃1 ) from the +𝑥-direction with a suitable initial speed. For a fixed 𝑣0 , when (𝜃0 , 𝜃1 ) = (45° , 45° ), the stone hits the ball after time 𝑇1 , and when (𝜃0 , 𝜃1 ) = (60° , 30° ), it hits the ball after time 𝑇2 . In such a case, (𝑇1 /𝑇2 ) 2 is ______.

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