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- Question
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
- Correct Answer
- 7 : 3
Explanation=> r = (24/364) x 2 = 7m
Required Rato =2r/h =14/6 = 7:3
- 1. 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
- 2. 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
- 3. 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
- 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 Discuss
- 5. 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
- 6. 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
- 7. Find the surface area of a10cm x 4cm x 3cm brick
Options- A. 84
- B. 124
- C. 164
- D. 180 Discuss
- 8. The circumference of a circular base of Cylinder is 44 cm and its hight is 15 cm. Then the volume of the cylinder is?
Options- A. 2759 cub. cm
- B. 2247 cub. cm
- C. 2614 cub. cm
- D. 2311 cub. cm Discuss
- 9. A Conical tent was erected by the army at a base camp with height 3 m and base diameter 10 m. If every person requires 3.92 cu.m air, then how many persons can be seated in that tent approximately?
Options- A. 20
- B. 19
- C. 17
- D. 22 Discuss
- 10. Find the number of bricks, each measuring 24 cm x 12 cm x 8 cm, required to construct a wall 24 m long, 8m high and 60 cm thick, if 10% of the wall is filled with mortar?
Options- A. 35000
- B. 45000
- C. 55000
- D. 65000 Discuss
Volume and Surface Area problems
Search Results
Correct Answer: 38%
Explanation:
% Change in Curved Surface Area is given by
Correct Answer: 60pi sq.m
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: 3:1
Explanation:
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
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
Correct Answer: 164
Explanation:
surface area = [2(10*4 + 4*3 + 10*3)]sq.cm = 164 sq.cm
Correct Answer: 2311 cub. cm
Explanation:
Given Circumference of a circular base of a cylinder = 44 cm
We know that Circumference of a circle =
Now given the height of a cylinder h = 15 cm
Correct Answer: 20
Explanation:
Given height of the conical tent = 3 m
Diameter = 10 => Radius = D/2 = 10/2 = 5 m
Now, as the tent is in the conical form
Volume of the conical tent =
=> (22 x 5 x 5 x 3) / (7 x 3)
= 22 x 25/7
= 78.54 cu.m
Given each person requires 3.92 cu.m of air
=> Number of persons can be seated in the tent = 78.54/3.92 = 20.03 =~ 20
Correct Answer: 45000
Explanation:
Volume of the wall = (2400 x 800 x 60) cu.cm
Volume of bricks = 90% of the volume of the wall
= [(90/100) x 2400 x 800 x 60] cu.cm
Volume of 1 brick = (24 x 12 x 8) cu.cm
Number of bricks = [(90/100) x (2400 x 800 x 60) ]/ (24 x 12 x 8) = 45000
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