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A cubical ice cream brick of edge 22 cm is to be distributed among some children by filling ice cream cones of radius 2 cm and height 7 cm upto its brim. How many children will get the ice cream cones?
The volume of the largest right circular cone that can be cut out from a cube of edge 4.2 cm is
The volume of the largest right circular cone that can be cut out from a cube of edge 4.2 cm is 19.404 cm^{3.}
Edge of the cube = 4.2 cm
i.e 2r = 4.2
r = 4.2/2 = 2.1 cm
h = 4.2 cm
Volume of the cone = 1/3 * pi * r^{2} * h
=> 1/3 * 22/7 * 2.1 * 2.1 * 4.2
=> 19.404 cm^{3}
Hence, the volume of the largest right circular cone that can be cut out from a cube of edge 4.2 cm is 19.404 cm^{3}.
The radius (in cm) of the largest right circular cone that can be cut out from a cube of edge 4.2 cm is
Edge of the cube = 4.2 cm
Diameter of base of largest possible cone = 4.2 cm
∴ Radius = 4.2/2 = 2.1 cm
A shuttle cock used for playing badminton has the shape of the combination of
How many bags of grain can be stored in a cuboid granary 12 m x 6 m x 5 m. If each bag occupies a space of 0.48 m^{3} ?
In a swimming pool measuring 90 m x 40 m, 150 men take a dip. If the average displacement of water by a man is 8 m^{3}, then rise in water level is
Volume of water displaced = 150 x 8 = 1200 m^{3}
⇒ 90 x 40 x h = 1200
⇒
A solid piece of iron in the form of a cuboid of dimensions 49 cm x 33 cm x 24 cm, is moulded to form a solid sphere. The radius of the sphere is
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