Ex – 12.1 Que No. 8 Q.8) From a solid cylinder whose height is 2.4 cm and diameter 1.4 cm, a conical cavity of the same height and same diameter is hollowed out. Find the total surface area of the remaining solid to the nearest cm2. Solution:-
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Ex – 12.1 Que No. 7 Q.7) A tent is in the shape of a cylinder surmounted by a conical top. If the height and diameter of the cylindrical part are 2.1 m and 4 m respectively, and the slant height of the top is 2.8 m, find the area of the canvas used for
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Ex – 12.1 Que No. 6 Q.6) A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends (see Fig. 12.10). The length of the entire capsule is 14 mm and the diameter of the capsule is 5 mm. Find its surface area. Solution:-
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Ex – 12.1 Que No. 5 Q.5) A hemispherical depression is cut out from one face of a cubical wooden block such that the diameter l of the hemisphere is equal to the edge of the cube. Determine the surface area of the remaining solid. Solution:-
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Ex – 12.1 Que No. 4 Q.4) A cubical block of side 7 cm is surmounted by a hemisphere. What is the greatest diameter the hemisphere can have? Find the surface area of the solid. Solution:-
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Ex – 12.1 Que No. 2 Q.2) A vessel is in the form of a hollow hemisphere mounted by a hollow cylinder. The diameter of the hemisphere is 14 cm and the total height of the vessel is 13 cm. Find the inner surface area of the vessel. Solution:-
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Ex – 12.1 Que No. 1 Q.1) 2 cubes each of volume 64 cm3 are joined end to end. Find the surface area of the resulting cuboid. Solution:-
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Ex – 14.1 Que No. 25 Q.25) Which of the following arguments are correct and which are not correct? Give reasonsfor your answer. Solution:-
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Ex – 14.1 Que No. 24 Q.24) A die is thrown twice. What is the probability that [Hint : Throwing a die twice and throwing two dice simultaneously are treated as the same experiment] Solution:-
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Ex – 14.1 Que No. 23 Q.23) A game consists of tossing a one rupee coin 3 times and noting its outcome each time. Hanif wins if all the tosses give the same result i.e., three heads or three tails, and loses otherwise. Calculate the probability that Hanif will lose the game. Solution:-
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