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Two tins in the shape of cylinder has radii 15 cm and 10 cm respectively. The heights are 25 cm and 18 cm respectively. In the both cylinders, the ghee are filled. When it transferred into another cylindrical-shaped tin. If there is ghee in the bigger tin with height 30 cm. Then find its radius. |
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Answer» ‘Volume of the ghee in the first tin = πr2 h = π × 15 × 15 × 25 = 5625π cm3 Volume of the ghee in the second tin = πr2 h = π × 10 × 10 × 18 = 1800 π cm3 Total volume = 5625 π + 1800 π = 7425 π cm3 Volume of the ghee in the bigger tin = πr2 h = 7425 π h = 30 πr2 h = πr2 × 30 = 7425 π r2 = \(\frac{7425\pi}{30\pi}\) = 247.5 \(r=\sqrt{247.5}=15.73\) cm |
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