#### Mensuration Book Back Questions

10th Standard EM

Reg.No. :
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Maths

Time : 00:45:00 Hrs
Total Marks : 30
6 x 1 = 6
1. The curved surface area of a right circular cone of height 15 cm and base diameter 16 cm is

(a)

60$\pi$ cm2

(b)

68$\pi$ cm2

(c)

120$\pi$ cm2

(d)

136$\pi$ 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

(a)

4$\pi$r2 sq.units

(b)

6$\pi$r2 sq.units

(c)

3$\pi$r2 sq.units

(d)

8$\pi$r2 sq.units

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

(a)

12 cm

(b)

10 cm

(c)

13 cm

(d)

5 cm

4. 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

(a)

3 x cm

(b)

x cm

(c)

4 x cm

(d)

2x cm

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

(a)

a cylinder and a sphere

(b)

a hemisphere and a cone

(c)

a sphere and a cone

(d)

frustum of a cone and a hemisphere

6. The height and radius of the cone of which the frustum is a part are h1 units and r1 units respectively. Height of the frustum is h2 units and radius of the smaller base is r2 units. If h2 : h1 =1:2 then r2:r1 is

(a)

1:3

(b)

1:2

(c)

2:1

(d)

3:1

7. 3 x 2 = 6
8. A garden roller whose length is 3 m long and whose diameter is 2.8 m is rolled to level a garden. How much area will it cover in 8 revolutions?

9. The radius of a conical tent is 7 m and the height is 24 m. Calculate the length of the canvas used to make the tent if the width of the rectangular canvas is 4 m?

10. If the base area of a hemispherical solid is 1386 sq. metres, then find its total surface area?

11. 2 x 5 = 10
12. The ratio of the volumes of two cones is 2:3. Find the ratio of their radii if the height of second cone is double the height of the first.

13. If the radii of the circular ends of a frustum which is 45 cm high are 28 cm and 7 cm, find the volume of the frustum.

14. 1 x 8 = 8
15. Th e radius of a sphere increases by 25%. Find the percentage increase in its surface area.