Q1. A man has solids of shapes (sphere, cube, cylinder, cuboid and cane) Area of base of cuboid is 110 cm³ Radius of sphere and cylinder are equal but volume of cylinder is 25% less than the volume of sphere. Height of cone is equal to the edge of cube and volume of cube 95% of 11 volume of cone. Radius cone is equal to height of cuboid and height of cuboid is half of the diameter of the sphere. Ratio of volume of cylinder, cuboid and cube are 462: 110: 441 respectively.
What is the sum of volume of cone and volume of cuboid?
(1) 10131 cml³
(2) 12012cm3
(3) 13013 cm³
(4) 9801 cm³
(1) 1
(2) 2
(3) 3
(4) 4
EXPLANATION
Answer: 2
Q2. If three metallic spheres of radii 6 cms, 8 cms and 10 cms are melted to form a single sphere, the diameter of the new sphere will be
(1) 24 cm
(2) 12 cm
(3) 16 cm
(4) 30 cm
(1) 1
(2) 2
(3) 3
(4) 4
EXPLANATION
Let r be the radius of single sphere.
Now,
The volume of single sphere = sum of volume of three spheres
Hence, the diameter = 20 × r = 24 cm
Hence, the correct answer is choice 1.
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