Volume and Surface Area problems
- 1. There is a cylinder circumscribing the hemisphere such that their bases are common. Find the ratio of their volumes
Options- A. 3/2
- B. 5/2
- C. 7/2
- D. 9/2 Also asked in: Bank Exams, Bank PO
Correct Answer: 3/2
Explanation:
R =OA = OB = Radius of hemisphere.
= Radius of cylinder ABCD.
Height of the cylinder = BC = radius
Volume of cylinder/Volume of hemisphere =
- 2. The capacity of a tank of dimensions (8m x 6m x 2.5m)is
Options- A. 120 litres
- B. 1200 litres
- C. 12000 litres
- D. 120000 litres Also asked in: Bank Exams, Bank PO
Correct Answer: 120000 litres
Explanation:
capacity of a tank = volume of tank
= [ (8 x 100) x (6 x 100) x (2.5 x 100) ]/ 1000 litres
= 120000 litres
- 3. How many iron rods, each of length 7 mts and diameter 2 cms can be made out of 0.88 cubic metre of iron ?
Options- A. 500
- B. 600
- C. 400
- D. 300 Also asked in: CAT, Bank PO
Correct Answer: 400
Explanation:
Given length of iron rod =7 mts and and diameter of rod = 2 cms
=> r = 1/100 mts
Therefore, Volume of one rod = cu. m = cu. m = cu. m
Given volume of iron = 0.88 cu. m
Therefore, Number of rods = = 400.
- 4. The areas of three consecutive faces of a cuboid are 12 cm², 20cm² and 15 cm², then the volume (in cm³) of the cuboid is
Options- A. 60
- B. 55
- C. 45
- D. 40 Also asked in: AIEEE, Bank Exams, CAT, Analyst, Bank Clerk, Bank PO
Correct Answer: 60
Explanation:
From the given data,
let the length, breadth and height of the cuboid are m, n, r
m x n = 12
n x r = 20
r x m = 15
Hence, m x n x n x r x r x m = 12 x 20 x 15
mnr = sqrt of (12x20x15) = 60 cub.cm.
- 5. A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1cm when a man gets on it. The mass of the man is:
Options- A. 12 kg
- B. 60 kg
- C. 72 kg
- D. 96 kg Discuss
Correct Answer: 60 kg
- 6. Water flows into a tank 200 m x 160 m through a rectangular pipe of 1.5m x 1.25 m @ 20 kmph . In what time (in minutes) will the water rise by 2 meters?
Options- A. 92min
- B. 93min
- C. 95min
- D. 96min Discuss
Correct Answer: 96min
Explanation:
Volume required in the tank = (200 x 150 x 2) cu.m = 60000 cu.m
Length of water column flown in1 min =(20 x 1000)/60 m =1000/3 m
Volume flown per minute = 1.5 x 1.25 x (1000/3) cu.m= 625 cu.m.
Required time = (60000/625)min = 96min
- 7. A cylindrical rod of iron, whose height is equal to its radius, is melted and cast into spherical balls whose radius is half the radius of the rod. Find the number of balls.
Options- A. 3
- B. 4
- C. 5
- D. 6 Also asked in: Bank Exams, Bank PO
Correct Answer: 6
Explanation:
Volume of rod = = =
Volume of one spherical ball =r/2
Volume of the spherical ball =
Number of balls=Volumeof rod/volumeof one ball
- 8. A rectangular box measures internally 1.6m long, 1m broad and 60cm deep. The number of cubical box each of edge 20cm that can be packed inside the box is:
Options- A. 30
- B. 60
- C. 90
- D. 120 Also asked in: Bank Exams, Bank PO
Correct Answer: 120
Explanation:
Number of blocks = =120
- 9. The height of the wall is 6 times its width and lenght of the wall is 7 times its height .if the volume of the wall be 16128 cu.m.its width is
Options- A. 4m
- B. 5m
- C. 6m
- D. 7m Also asked in: Bank Exams, Bank PO
Correct Answer: 4m
Explanation:
Let width = x
Then, height = 6x and length = 42x
42x * 6x * x = 16128
x = 4
- 10. Which measurement unit represents volume?
Options- A. milliliter
- B. Cubic centimeter
- C. Meter cube
- D. All of the above Also asked in: AIEEE, Bank Exams, CAT, Analyst, Bank Clerk, Bank PO
Correct Answer: All of the above
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