40
Minutes
60
Questions
1 / -0
Marking
Q1. A cylindrical pencil sharpened at one edge is the combination of
a cone and a cylinder
frustum of a cone and a cylinder
a hemisphere and a cylinder
two cylinders.
Q2. If the surface areas of two spheres are in ratio 16 : 9, then their volumes will be in the ratio:
27 : 64
64 : 27
4 : 3
3 : 4
Q3. The lateral surface area of a right circular cone of height 28 cm and base radius 21 cm(in sq. cm) is:
2310
2110
1055
1155
Q4. A cylindrical pencil sharpened at one edge is the combination of
two cylinders
a hemisphere and a cylinder
a cone and a cylinder
frustum of a cone and a cylinder
Q5. The base area of the cylinder is 80 sq.cm. If its height is 5cm, then its volume is
200 cu.cm
80 cu.cm
100 cu.cm
400 cu.cm
Q6. A cylinder and a cone are of the same base radius and same height. Find the ratio of the volumes of the cylinder of that of the cone.
1 : 3
1 : 2
3 : 1
2 : 1
Q7. A cone is cut through a plane parallel to its base and then the cone that is for medon one side of that plane is removed. The new part that is left over on the other side of the plane is called
a frustum of a cone
cone
cylinder
sphere
Q8. A cylinder, a cone and a hemisphere are of equal base and have the same height. What is the ratio of their volumes?
3 : 1 : 2
3 : 2 : 1
1 : 2 : 3
1 : 3 : 2
Q9. If the ratio of the radius of a cone and a cylinder of equal volume is 3:5, then find the ratio of their heights.
25/3
28/3
23/3
7
Q10. A shuttlecock used for playing badminton has the shape of the combination of
a cylinder and a sphere
a sphere and a cone
a cylinder and a hemisphere
frustum of a cone and a hemisphere
Q11. A bucket of height 12 cm, has a top and bottom diameter of 40 cm and 20 cm respectively. The cost of tin sheet used for making the bucket at the rate of Rs. 1.20 per dm2 will be
Rs. 21.44
Rs 45.50
Rs. 60.45
Rs. 20.67
Q12. A toy is in the form of a cone mounted on a hemisphere of common base radius 7 cm. The total height of the toy is 31 cm. Find the total surface area of the toy.
465
912
769
858
Q13. During conversion of a solid from one shape to another, the volume of the new shape will
increase
decrease
remain unaltered
be doubled
Q14. If the area of three adjacent faces of cuboid are X, Y and Z respectively, then the volume of cuboid is:
XYZ
3XYZ
√xyz
√3xyz
Q15. An iron rod of diameter 1cm and length 8cm is drawn into a wire of length 18m of uniform thickness. Find the thickness of the wire?
0.09cm
0.08cm
0.06cm
0.05cm
...and 45 more challenging questions available in the interactive simulator.