HARD
8th CBSE
IMPORTANT
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A cylindrical container with diameter of base 56 cm contains sufficient water to submerge a rectangular solid of iron with dimensions 32 cm×22 cm×14 cm. Find the rise in the level of the water when the solid is completely submerged.

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Important Questions on Mensuration-III (Surface Area and Volume of a Right Circular Cylinder)

MEDIUM
8th CBSE
IMPORTANT
A rectangular sheet of paper 30 cm×18 cm can be transformed into the curved surface of a right circular cylinder in two ways i.e., either by rolling the paper along its length or by rolling it along its breadth. Find the ratio of the volumes of the two cylinders thus formed.
HARD
8th CBSE
IMPORTANT
The rain which falls on a roof 18 m long and 16.5 m wide is allowed to be stored in a cylindrical tank 8 m in diameter. If it rains 10 cm on a day, what is the rise of water level in the tank due to it?
HARD
8th CBSE
IMPORTANT
A piece of ductile metal is in the form of a cylinder of diameter 1 cm and length 5 cm. It is drawn out into a wire of diameter 1 mm. What will be the length of the wire so formed?
HARD
8th CBSE
IMPORTANT
Find the length of 13.2 kg of copper wire of diameter 4 mm, when 1 cubic cm of copper weighs 8.4 gm.
HARD
8th CBSE
IMPORTANT
2.2 cubic dm of brass is to be drawn into a cylindrical wire 0.25 cm in diameter. Find the length of the wire. (Take π=227)
HARD
8th CBSE
IMPORTANT
The difference between inside and outside surfaces of a cylindrical tube 14 cm long is 88 sq. cm. If the volume of the tube is 176 cm3, find the inner and outer radii of the tube. (Take π=227)
HARD
8th CBSE
IMPORTANT
Water flows out through a circular pipe whose internal diameter is 2 cm, at the rate of 6 metres per second into a cylindrical tank, the radius of whose base is 60 cm. Find the rise in the level of water in 30 minutes?
MEDIUM
8th CBSE
IMPORTANT
A cylindrical tube, open at both ends, is made of metal. The internal diameter of the tube is 10.4 cm and its length is 25 cm. The thickness of the metal is 8 mm everywhere. If the volume of the metal is k cm3, then find k.