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The volume of a right circular cylinder is 392π cm^{3} and its height is 8 cm. Find the radius? 
A) 6 cm B) 7 cm C) 8 cm D) 9 cm Correct Answer : 7 cm Explanation : Volume of a cylinder = πr^{2}h 
If the height of right circular cylinder is 10 cm and radius of its base is 4 cm, find its total surface area? 
A) 350 cm² B) 351 cm² C) 352 cm² D) 353 cm² Correct Answer : 352 cm² Explanation : Total Surface Area of a cylinder= 2πrh + 2πr^{2} = 2πr(h + r) 
Length,Width and Height of a cuboid are in the ratio of 6:3:5. If the total surface area of cuboid is 1134 cm2 then find its Length, Width and Height. 
A) 18, 9, 15
B) 17, 10, 15
C) 12, 15, 9
D) 11, 13, 16
Correct Answer : 18, 9, 15 Explanation : Let the length,width and height of the cuboid are 6x,3x,5x respectively. The total surface area of cuboid ,2*(lb + bh + lh) = 1134 Hence the dimensions of cuboid will be 18, 9, 15. 
If the surface area of two spheres are in the ratio 9:16, then the ratio of their volumes will be? 
A) 9:16 B) 16:9 C) 27:64 D) 3:4 Correct Answer : 27:64 Explanation : Let the radius of two sphere be r and R As is given, 4πr^{2}/4πR^{2 }= 9/16 ratio of their volume = (4πr^{3}/3) / (4πR^{3}/3) 

The volume of a cube is 512 cm^{3}, Its surface area is ? 
64 cm^{2} 384 cm^{2} Explanation : Volume =a^{3} = 512 cm^{3}= 8 x 8 x 8 
A box is of 10 cm long, 8 cm broad and 5 cm high. What is the longest possible length of a pencil that can be put in ? 
√150 cm 3√21 cm Explanation : Since, the box is in the form of a cuboid. longest possible length of a pencil=>diagonal of cuboid=√(l^{2} +b^{2} +h^{2}) 
Find the height of the cylinder whose volume is 551 m^{3} and the area of the base is 36.5 m^{2} ? 
7 m 14 m Explanation : Base of cylinder => Area of circle = πr^{2 }= 36.5 m^{2} ^{ }Volume of cylinder = πr^{2}h = Area base * height = 36.5 * h 

If the volume and surface are of a sphere are numerically the same then its radius is ? 
1 unit 3 unit Explanation : Volume = (4/3)πr^{3} as per question,^{ }4/3 πr^{3} = 4πr^{2} 
A cylinder and a cone have the same height and same radius of the base. The ratio between the volumes of the cylinder and the cone is ? 
A) 1 : 3
B) 3 : 1
C) 1 : 2
D) 2 : 1
Correct Answer : 3 : 1 Explanation : Volume of Cylinder = πr^{2}h Volume of cone = (1/3)πr^{2}h Ratio of their volumes = [πr^{2}h] / [(1/3)πr^{2}h] => 3/1 => 3 : 1 
A sphere of radius r has the same volume as that of a cone with circular base of radius r. Find the height of the cone ? 
2r 4r Explanation : Volume of sphere = Volume of cone 
If the volume of the cube is 1331 m^{3}, then the total surface area of the cube is(in m^{2}): 
A) 648
B) 484
C) 726
D) 216
Correct Answer : 726 Explanation : Let the side of Cube is a Then, 
The areas of two circles are in the ratio 1:2. Find the ratio of their radius? 
A) 1:2
B) 1:3
C) 1:√2
D) 1:4
Correct Answer : 1:√2 Explanation : Ratio of the areas of the circles = π(r_{1})^{2} : π(r_{2})^{2 } =1:2
