Dear students, you know how important Advance Math is a for IB and SSC related exams. Learn every theorem of geometry, different trigonometric ratios and formulas of different polygons & 3D mensuration before you sit for the main exam. We cant learn everything in a day, so practice different question , For that, we are providing 15 questions on Mensuration 3D. Solve all these quizzes every day so that you can improve your accuracy and speed.
Q1. Two right circular cylinders of the equal volume have their heights in the ratio 1 : 2. The ratio of their radii is :
(a) √2 ∶1
(b) 2 : 1
(c) 1 : 2
(d) 1 : 4
Q2. A hollow iron pipe is 21 cm long and its exterior diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8 g/cm cube, then the weight of the pipe is (Take π=22/7)
(a) 3.696 kg
(b) 3.6 kg
(c) 36 kg
(d) 36.9 kg
Q3. Two iron sheets spherical in shape each of diameters 6 cm are immersed in the water contained in a cylindrical vessel of radius 6 cm. the level of the water in the vessel will be raised by?
(a) 1 cm
(b) 2 cm
(c) 3 cm
(d) 6 cm
Q4. The radii of the base of two cylinders A and B are in the ratio 3 : 2 and their height in the ratio n : 1. If the volume of cylinder A is 3 times that of cylinder B, the value of n is
(a) 4/3
(b) 2/3
(c) 3/4
(d) 3/4
Q5. Water is being pumped out through a circular pipe whose internal diameter is 7 cm. If the flow of water is 12 cm per second. How many litres of water is being pumped out in one hour?
(a) 1663.2 liter
(b) 1500 liter
(c) 1747.6 liter
(d) 2000 liter
Q6. The lateral surface area of a cylinder is 1056 cm square and its height is 16 cm. Find its volume.
(a) 4545 cm cube
(b) 4455 cm cube
(c) 5445 cm cube
(d) 5544 cm cube
Q7. From a solid cylinder whose height is 12 cm and diameter 10 cm, a conical cavity of same height and same diameter of the base is hollowed out. The volume of the remaining solid is approximately (π=22/7)
(a) 942.86 cm square
(b) 314.29 cm square
(c) 628.57 cm square
(d) 450.76 cm square
Q8. The curved surface area and the total surface area of a cylinder are in the ratio 1 : 2.If the total surface area of the right cylinder is 616 cm square, then its volume is :
(a) 1232 cm cube
(b) 1848 cm cube
(c) 1632 cm cube
(d) 1078 cm cube
Q9. If diagonal of a cube is √12 cm, then its volume in cubic cm is ?
(a) 8
(b) 12
(c) 24
(d) ∛2
Q10. If the volume of two cubes are in the ratio 27 : 1, the ratio of their edge is ?
(a) 3 : 1
(b) 27 : 1
(c) 1 : 3
(d) 1 : 27
Q11. Water flows into a tank which is 200 m long and 150 m wide, through a pipe of cross-section 0.3 m × 0.2 m at 20 km/hour. Then the time (in hours) for the water level in the tank to reach 8 m is
(a) 50 hours
(b) 120 hours
(c) 150 hours
(d) 200 hours
Q12. The ratio of the volume of two cones is 2 : 3 and the ratio of radii of their base is 1 : 2. The ratio of their height is
(a) 3 : 8
(b) 8 : 3
(c) 4 : 3
(d) 3 : 4
Q13. If the height of a given cone be doubled and radius of the base remains the same the ratio of the volume of the given cone to that of the second cone will be
(a) 2 : 1
(b) 1 : 8
(c) 1 : 2
(d) 8 : 1
Q14. A cone of height 15 cm and base diameter 30 is carved out of a wooden sphere of radius 15 cm. The percentage of wasted wood is :
(a) 75%
(b) 50%
(c) 40%
(d) 25%
Q15. The radius of the base and height of a right circular cone are in the ratio 5 : 12. If the volume of the cone is 314 2/7 cm cube. The slant height (in cm) of the cone will be
(a) 12
(b) 13
(c) 15
(d) 17
No comments:
Post a Comment