a) $$\sqrt 2 $$ : $$\sqrt 3 $$ b) 2 : 3 c) 4 : 9 d) 16 : 81
View QuestionA copper wire of length 36 m and diameter 2 mm is melted to form a sphere. The radius of the sphere (in cm) is :
a) 2.5 cm b) 3 cm c) 3.5 cm d) 4 cm Answer: b Explanation: Let the radius of ...
View QuestionIf the volume and surface area of a sphere are numerically the same, then its radius is :
a) 1 unit b) 2 units c) 3 units d) 4 units Answer: c Explanation: $$\eqalign{ & \frac{4}{3}\pi {r^3} = ...
View QuestionA metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m^3) is:
A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its ...
View QuestionA cistern 6m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:
a) 49 m2 b) 50 m2 c) 53.5 m2 d) 55 m2 Answer: a Explanation: $$\eqalign{ & {\text{Area}}\,{\text{of}}\,{\text{the}}\,{\text{wet}}\,{\text{surface}} \cr & = ...
View QuestionThe slant height of a right circular cone is 10 m and its height is 8 m. Find the area of its curved surface.
a) 30π m2 b) 40π m2 c) 60π m2 d) 80π m2 Answer: c Explanation: $$\eqalign{ & l = 10\,m ...
View Question50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4 m^3, then the rise in the water level in the tank will be:
50 men took a dip in a water tank 40 m long and 20 m broad on a ...
View QuestionA boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is:
a) 12 kg b) 60 kg c) 72 kg d) 96 kg Answer: b Explanation: ...
View QuestionA swimming pool 9 m wide and 12 m long and 1 m deep on the shallow side and 4 m deep on the deeper side. Its volume is :
a) 360 m3 b) 270 m3 c) 420 m3 d) None of these Answer: b Explanation: Given length of ...
View QuestionA hemisphere and a cone have equal bases. If their heights are also equal, then the ratio of their curved surface will be :
a) $$\sqrt 2 :1$$ b) $$1:\sqrt 2 $$ c) 2 : 1 d) 1 : 2 Answer: a Explanation: ...
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