a) 9 cm b) 36 cm c) 54 cm d) 81 cm Answer: d Explanation: $$\eqalign{ & \frac{{\frac{4}{3}\pi {r^3}}}{{4\pi {r^2}}} ...
View QuestionA solid metallic right circular cylinder of base diameter 16 m and height 2 cm is melted and recast into a right circular cone of height three times that of the cylinder. Find the curved surface area of the cone. [Use π = 3.14]
A solid metallic right circular cylinder of base diameter 16 m and height 2 cm is melted and ...
View QuestionThe slant height of a right circular cone is 10 m and its height is 8 m. Find the area of its curved surface.
a) 30π m2 b) 40π m2 c) 60π m2 d) 80π m2 Answer: c Explanation:$$\eqalign{ & l = 10\,m,h = ...
View QuestionIf two cylinders of equal volumes have their heights in the ratio 2 : 3, then the ratio if their radii is :
a) $$\sqrt 6 :\sqrt 3 $$ b) $$\sqrt 5 :\sqrt 3 $$ c) $$2 : 3 $$ d) ...
View QuestionThe volume of a right circular cylinder, 14 cm in height is equal to that of a cube whose edge is 11 cm. The radius of the base of the cylinder is :
a) 5.2 cm b) 5.5 cm c) 11 cm d) 22 cm Answer: b Explanation: Volume of the cylinder ...
View QuestionA solid cube just gets completely immersed in water when a 0.2 kg mass is placed on it. If the mass is removed, the cube is 2 cm above the water level. What is the length of each side of the cube ?
a) 6 cm b) 8 cm c) 10 cm d) 12 cm Answer: c Explanation: Let the length of ...
View QuestionHow many bricks, each measuring 25 cm × 11.25 cm × 6 cm, will be needed to build a wall 8 m × 6 m × 22.5 cm ?
How many bricks, each measuring 25 cm × 11.25 cm × 6 cm, will be needed to build ...
View QuestionA cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick. The thickness of the bottom is :
a) 90 cm b) 1 dm c) 1 m d) 1.1 m Answer: b Explanation: Let the ...
View QuestionBase of a right prism is a rectangle, the ratio of whose length and breadth is 3 : 2. If the height of the prism is 12 cm and total surface area is 288 sq.cm the volume of the prism is :
a) 291 cm b) 288 cm c) 290 cm d) 286 cm Answer: b Explanation: Let the length of ...
View QuestionA hemisphere of lead of radius 6 cm is cast into a right circular cone of height 75 cm. The radius of the base of the cone is :
a) 1.4 cm b) 2 cm c) 2.4 cm d) 4.2 cm Answer: c Explanation: Let the radius of ...
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