Discussion
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- Question
If the volume of a cylinder is 3850 cubic cm and height is 25 cm, what is its radius? (Take ? = 22/7)
Options- A. 7 cms
- B. 14 cms
- C. 10 cms
- D. 3.5 cms
- Correct Answer
- 7 cms
- 1. The volume of metallic cylindrical pipe of uniform thickness is 748 c.c. Its length is 14 cm and its external radius is 9 cm. The thickness of the pipe is
Options- A. 0.5 cm
- B. 1.5 cm
- C. 1 cm
- D. 2 cm Discuss
- 2. At what point does the line 3x + y = -6 intercept the x-axis?
Options- A. (2,0)
- B. (-2,0)
- C. (0,-6)
- D. (0,6) Discuss
- 3. The area of a semicircle is 1925 sq.cm. Calculate its perimeter (in cm).
Options- A. 360
- B. 80
- C. 160
- D. 180 Discuss
- 4. Considering two opposite vertices of a square of side ?a? as centres, two circular arcs are drawn within the square joining the other two vertices, thus forming two sectors. What is the common area in these two sectors?
Options- A. a2?+12
- B. a
- C. a2?2-1
- D. ?a/2 Discuss
- 5. The volume of a spherical balloon is increased by 700%. What is the percentage increase in its surface area?
Options- A. 300%
- B. 400%
- C. 450%
- D. 500% Discuss
- 6. Dodecahedron has 30 edges. How many vertices does it have?
Options- A. 12
- B. 16
- C. 20
- D. 10 Discuss
- 7. A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?
Options- A. 2.91 m
- B. 3 m
- C. 5.82 m
- D. None of these Discuss
- 8. The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ 26.50 per metre is Rs. 5300, what is the length of the plot in metres?
Options- A. 40
- B. 120
- C. 50
- D. None of these Discuss
- 9. A large cube is formed from the material obtained by melting three smaller cubes of 3,4 and 5 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube?
Options- A. 2 : 1
- B. 3 : 2
- C. 25 : 18
- D. 27 : 20 Discuss
- 10. What is the ratio between the volumes of a cylinder and cone of the same height and of the same diameter
Options- A. 2:1
- B. 3:1
- C. 4:1
- D. 5:1 Discuss
Volume and Surface Area problems
Search Results
Correct Answer: 1 cm
Correct Answer: (-2,0)
Correct Answer: 180
Correct Answer: a2?2-1
Correct Answer: 300%
Correct Answer: 20
Correct Answer: 3 m
Explanation:
Area of the park = (60 x 40) = 2400 sq.m
Area of the lawn = 2109 sq.m
Area of the crossroads = (2400 - 2109) = 291 sq.m
Let the width of the road be x metres. Then,
60x + 40x - (x * x) = 291
=>(x * x) - 100x + 291 = 0
=>(x - 97)(x - 3) = 0
=>x=3
Correct Answer: None of these
Explanation:
Let breadth = x metres.
Then, length = (x + 20) metres.
Perimeter = 5300 m = 200 m. 26.50
2[(x + 20) + x] = 200
2x + 20 = 100
2x = 80
x = 40.
Hence, length = x + 20 = 60 m.
Correct Answer: 25 : 18
Correct Answer: 3:1
Explanation:
Volume of cylinder / Volume of cone = 3/1
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