Volume and Surface Area problems
- 1. A 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:
Options- A. 90 cm
- B. 1 dm
- C. 1 m
- D. 1.1 cm Discuss
Correct Answer: 1 dm
- 2. Find the length of the longest pole that can be placed in a room 12 m long 8m broad and 9m high.
Options- A. 14m
- B. 15m
- C. 16m
- D. 17m Discuss
Correct Answer: 17m
Explanation:
Length of longest pole = Length of the diagonal of the room
- 3. In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:
Options- A. 75 cubic meter
- B. 750 cubic meter
- C. 7500 cubic meter
- D. 75000 cubic meter Discuss
Correct Answer: 750 cubic meter
Explanation:
1 hectare = 10,000 Sq.m
So, Area = (1.5 x 10000) Sq.m
Depth = 5/100 m = 1/20 m
Therefore, Volume = Area X Depth = 15000 x (1/20)= 750 cu.m
- 4. Two cones have their heights in the ratio 1:3 and the radii of their bases in the ratio 3:1. Find the ratio of their volumes.
Options- A. 3:1
- B. 2:1
- C. 4:1
- D. 5:1 Also asked in: Bank Exams, Bank PO
Correct Answer: 3:1
Explanation:
- 5. A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8g/cu.cm, then the weight of the pipe is
Options- A. 3.6 kg
- B. 3.696 kg
- C. 36 kg
- D. 36.9 kg Discuss
Correct Answer: 3.696 kg
Explanation:
External radius = 4 cm
Internal radius = 3 cm
Volume of iron = =
Weight of iron = (462 x 8)gm = 3696 gm = 3.696 kg
- 6. The slant height of a right circular cone is 10 m and its height is 8 m. Find the area of its curved surface
Options- A. 40pi sq.m
- B. 50pi sq.m
- C. 60pi sq.m
- D. 70pi sq.m Discuss
Correct Answer: 60pi sq.m
- 7. If radius and height of a cylinder increase by 20% and15% respectively. then what is the % change in curved surface area?
Options- A. 41%
- B. 38%
- C. 33%
- D. 44% Also asked in: Bank Clerk, GATE, CAT, Bank Exams, AIEEE, Bank PO
Correct Answer: 38%
Explanation:
% Change in Curved Surface Area is given by
- 8. The curved surface area of a cylindrical pillar is 264 sq.m and its volume is 924 cub.m. Find the ratio of its diameter to its height
Options- A. 3 : 7
- B. 7 : 3
- C. 6 : 7
- D. 7 : 6 Discuss
Correct Answer: 7 : 3
Explanation:
=> r = (24/364) x 2 = 7m
Required Rato =2r/h =14/6 = 7:3
- 9. How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm?
Options- A. 5600
- B. 6000
- C. 6400
- D. 7200 Discuss
Correct Answer: 6400
Explanation:
Number of bricks = volume of the wall/volume of one brick
= (800 x 600 x 22.5)/(25 x 11.25 x 6 )= 6400
- 10. Find the surface area of a10cm x 4cm x 3cm brick
Options- A. 84
- B. 124
- C. 164
- D. 180 Also asked in: Bank Exams, Bank PO
Correct Answer: 164
Explanation:
surface area = [2(10*4 + 4*3 + 10*3)]sq.cm = 164 sq.cm
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