A solid is in the shape of a cone standing on a hemisphere with b

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 Multiple Choice QuestionsShort Answer Type

741.

The volume of a hemisphere is 2425 12 cm3. Find its curved surface area. 

Use π = 227


 Multiple Choice QuestionsLong Answer Type

742.

From a solid cylinder of height 7 cm and base diameter 12 cm, a conical cavity of same height and same base diameter is hollowed out. Find the total surface area of the remaining solid.  Use  π = 227

                                    OR


A cylindrical bucket, 32 cm high and with radius of base 18 cm, is filled with sand. This bucket is emptied on the ground and a conical heap of sand is formed. If the height of the conical heap is 24 cm, then find the radius and slant height of the heap.


743.

A bucket is in the form of a frustum of a cone and its can hold 28.49 litres of water. If the radii of its circular ends are 28 cm and 21 cm, find the height of the bucket. use π = 227


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744.

A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 7 cm and the height of the cone is equal to its diameter. Find the volume of the solid.

Use π= 227


                                

Radius of hemi-sphere = 7 cm.

Radius of cone 7 cm.

Height of cone = diameter = 14 cm.

Volume of solid = Volume of cone + Volume of hemi-sphere

                        = 13πr2h + 23πr3 =  13 πr2 h + 2r  =  13 x 227 x 7 x 7  14 + 2 x 7 =   13 x 227 x 7 x 7 x 28 = 22 x 7 x 7 x 283 x 7 = 43123 cm3

 

 

                       

 


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