Discussion
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- Question
The radius of two cylinders are in the ratio of 3:2 and their heights are in the ratio 3:7. The ratio of their volumes is :
Options- A. 4:7
- B. 7:4
- C. 28:27
- D. 27:28
- Correct Answer
- 27:28
- 1. If the base of a pyramid is a square of 6cm side and its slant height is 5cm. Find its slant surface area.
Options- A. 50 sq.cm
- B. 30 sq.cm
- C. 60 sq.cm
- D. 40 sq.cm Discuss
- 2. 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
- 3. 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
- 4. 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
- 5. 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
- 6. A cylindrical vessel of radius 6 cm is partially filled with water. By how much will the water level rise if a sphere of radius 5 cm is completely immersed in this water? (Take ? = 22/7)
Options- A. 6.67 cm
- B. 5.56 cm
- C. 6.94 cm
- D. 4.63 cm Discuss
- 7. Three consecutive angles of a cycle quadrilateral are in the ratio of 1 : 4 : 5 . The measure of fourth angle is
Options- A. 120°
- B. 60°
- C. 30°
- D. 80° Discuss
- 8. In triangle ABC, ?ABC = 15 deg. D is a point on BC such that AD = BD. What is the measure of ?ADC (in degrees)?
Options- A. 15
- B. 30
- C. 45
- D. 60 Discuss
- 9. The length of the common chord of two intersecting circles is 12 cm. If the diameters of the circles are 15 cm and 13 cm, then what is the distance (in cm) between their centers?
Options- A. 7/2
- B. 7
- C. 7?2
- D. 14 Discuss
- 10. A solid sphere of diameter 7 cm is cut into two equal halves. What will be the increase (in cm2) in the total surface area ?
Options- A. 77
- B. 154
- C. 87
- D. 38.5 Discuss
Volume and Surface Area problems
Search Results
Correct Answer: 60 sq.cm
Explanation:
Slant surface of a pyramid=1/2 perimeter of base slantheight
=1/2 x (4 x Side of squarebase) x Slantheight
Correct Answer: 3:1
Explanation:
Volume of cylinder / Volume of cone = 3/1
Correct Answer: 25 : 18
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: 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: 4.63 cm
Correct Answer: 60°
Correct Answer: 30
Correct Answer: 7
Correct Answer: 77
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