Discussion
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- Question
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
- Correct Answer
- 750 cubic meter
Explanation1 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
- 1. 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
- 2. 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
- 3. The size of the wooden block is 5 x 10 x 20 cm .How many such blocks will be required to construct a solid wooden cube of minimum size?
Options- A. 6
- B. 8
- C. 12
- D. 16 Discuss
- 4. 50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4 cu.m , then the rise in the water level in the tank will be:
Options- A. 20 cm
- B. 25 cm
- C. 35 cm
- D. 50 cm Discuss
- 5. A town has a population of 4000 requires 140 liters of water per head. It has a tank measuring 18m x 12m x 8m. The water of this tank will suffice for ____ days?
Options- A. 3
- B. 4
- C. 5
- D. 2 Discuss
- 6. 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 Discuss
- 7. 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
- 8. 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
- 9. 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% Discuss
- 10. 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
Volume and Surface Area problems
Search Results
Correct Answer: 17m
Explanation:
Length of longest pole = Length of the diagonal of the room
Correct Answer: 1 dm
Correct Answer: 8
Explanation:
Side of smallest cube = L.C.M of 5, 10, 20 = 20cm
Volume of the cube = (20 x 20 x 20)cu.cm = 8000 cu.cm
Volume of the block= (5 x 10 x 20)cu.cm = 1000 cu.cm
Number of blocks = (8000/1000) = 8
Correct Answer: 25 cm
Explanation:
Total volume of water displaced =(4 x 50) cu.m = 200 cu.m
Rise in water level = =0.25m = 25cm
Correct Answer: 3
Explanation:
Water required = 4000 x 140 = 560000 lit = 560 cu.m (1 cu.m = 1000 lit)
Volume of tank = 18 x 12 x 8 = 1728 cu.m
Water of this tank will suffice for = 1728/560 = 3 days.
Correct Answer: 3:1
Explanation:
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
Correct Answer: 60pi sq.m
Correct Answer: 38%
Explanation:
% Change in Curved Surface Area is given by
Correct Answer: 7 : 3
Explanation:
=> r = (24/364) x 2 = 7m
Required Rato =2r/h =14/6 = 7:3
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