Mathematics : Mensuration: Multiple choice questions with answers / choose the correct answer with answers - Maths Book back 1 mark questions and answers with solution for Exercise Problems

Multiple choice questions

1. The curved surface area of a right circular cone of height 15 cm and base diameter 16 cm is

(1) 60*π* cm2

(2) 68*π* cm2

(3) 120*π* cm2

(4) 136*π* cm2

2. If two solid hemispheres of same base radius r units are joined together along their bases, then curved surface area of this new solid is

(1) 4*πr*2 sq. units

(2) 6*πr*2 sq. units

(3) 3*πr*2 sq. units

(4) 8*πr*2 sq. units

3. The height of a right circular cone whose radius is 5 cm and slant height is 13 cm will be

(1) 12 cm

(2) 10 cm

(3) 13 cm

(4) 5 cm

4. If the radius of the base of a right circular cylinder is halved keeping the same height, then the ratio of the volume of the cylinder thus obtained to the volume of original cylinder is

(1) 1:2

(2) 1:4

(3) 1:6

(4) 1:8

5. The total surface area of a cylinder whose radius is 1/3 of its height is

Ans: (3)

6. In a hollow cylinder, the sum of the external and internal radii is 14 cm and the width is 4 cm. If its height is 20 cm, the volume of the material in it is

(1) 5600*π* cm3

(2) 11200*π* cm3

(3) 56*π* cm3

(4) 3600*π* cm3

7. If the radius of the base of a cone is tripled and the height is doubled then the volume is

(1) made 6 times

(2) made 18 times

(3) made 12 times

(4) unchanged

8. The total surface area of a hemi-sphere is how much times the square of its radius.

(1) *π*

(2) 4*π*

(3) 3*π*

(4) 2*π*

9. A solid sphere of radius *x* cm is melted and cast into a shape of a solid cone of same radius. The height of the cone is

(1) 3*x* cm

(2) *x* cm

(3) 4*x* cm

(4) 2*x* cm

10. A frustum of a right circular cone is of height 16cm with radii of its ends as 8cm and 20cm. Then, the volume of the frustum is

(1) 3328*π* cm3

(2) 3228*π* cm3

(3) 3240*π* cm3

(4) 3340*π* cm3

11. A shuttle cock used for playing badminton has the shape of the combination of

(1) a cylinder and a sphere

(2) a hemisphere and a cone

(3) a sphere and a cone

(4) frustum of a cone and a hemisphere

12. A spherical ball of radius *r*1 units is melted to make 8 new identical balls each of radius *r*2 units. Then *r*1 : *r*2 is

(1) 2:1

(2) 1:2

(3) 4:1

(4) 1:4

13. The volume (in cm3) of the greatest sphere that can be cut off from a cylindrical log of wood of base radius 1 cm and height 5 cm is

(1) 4/3 *π*

(2) 10/3 *π*

(3) 5 *π*

(4) 20/3 *π*

14. The height and radius of the cone of which the frustum is a part are *h*1 units and *r*1 units respectively. Height of the frustum is *h*2 units and radius of the smaller base is *r*2* *units. If* h*2* *:* h*1* *=* *1 : 2* *then* r*2* *:* r*1* *is

(1) 1 : 3

(2) 1 : 2

(3) 2 : 1

(4) 3 : 1

15. The ratio of the volumes of a cylinder, a cone and a sphere, if each has the same diameter and same height is

(1) 1:2:3

(2) 2:1:3

(3) 1:3:2

(4) 3:1:2

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10th Mathematics : Mensuration : Multiple choice questions | Mensuration | Mathematics

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