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If a hollow hemisphere is melted and re-casted into small cylinder shapes with height √2 times of the radius then find the number of solid cylinder casted? Given: CSA of hemisphere = 616 cu cm.1. 22. 13. 04. 105. 30 |
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Answer» Correct Answer - Option 3 : 0 GIVEN: Hollow hemisphere. ⇒ Curved surface area of hemisphere = 2πr2 ----(1) ⇒ 2πr2 = 616 cu cm. ⇒ Radius (r) = 7√2 cm
CONCEPT: 1. For a hollow hemi-sphere. “During re-casting we always consider curved surface area not volume”.
CALCULATION: ⇒ Height of cylinder = √2 times of its radius. ⇒ Height of cylinder = 14 cm. ⇒ Numbers = CSA of hemisphere/volume of cylinder ⇒ Numbers = 616/ (π x 49 x 2 x 14 ) ⇒ Numbers = 0.14 Hence, no complete solid cylinder can be made. |
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