EduSahara™ Worksheet

Question 1

1.

A solid metallic cylinder of base radius 14.50 cm and height 10.00 cm is melted to form cones each of height 1.00 cm and radius 1.00 cm . Find the number of complete cones formed

(i)

6307
(ii)

6447
(iii)

6187
(iv)

6387
(v)

6137

Question 2

2.

If the length, breadth and volume of a cuboid are 17.00 cm, 8.00 cm and 1224.00 cu.cm respectively, its T.S.A is

(i)

729.00 sq.cm
(ii)

694.00 sq.cm
(iii)

747.00 sq.cm
(iv)

705.00 sq.cm
(v)

722.00 sq.cm

Question 3

3.

If the three sides of a triangular prism are 16.00 cm, 9.00 cm, 14.00 cm and volume is 1883.40 cu.cm, its base area is

(i)

62.78 sq.cm
(ii)

67.78 sq.cm
(iii)

59.78 sq.cm
(iv)

57.78 sq.cm
(v)

65.78 sq.cm

Question 4

4.

If the radius of a cylinder is 7.00 cm and height is 11.00 cm, its base area is

(i)

160.00 sq.cm
(ii)

154.00 sq.cm
(iii)

142.00 sq.cm
(iv)

151.00 sq.cm
(v)

169.00 sq.cm

Question 5

5.

A wooden toy rocket is in the shape of a cone mounted on a cylinder. The height of the conical part is 5.00 cm , while the height of the cylindrical part is 10.00 cm. The base of the conical portion has a diameter of 6.00 cm while the base diameter of the cylindrical portion is 4.00 cm. If the conical portion is painted with blue and cylindrical portion with gray, find the area of the rocket painted with each of these colors

(i)
blue

area =

69.68 sq.cm

,

gray

area =

137.29 sq.cm
(ii)
blue

area =

72.68 sq.cm

,

gray

area =

140.29 sq.cm
(iii)
blue

area =

68.68 sq.cm

,

gray

area =

136.29 sq.cm
(iv)
blue

area =

71.68 sq.cm

,

gray

area =

139.29 sq.cm
(v)
blue

area =

70.68 sq.cm

,

gray

area =

138.29 sq.cm

Question 6

6.

If the length, height and L.S.A of a cuboid are 17.00 cm, 6.00 cm and 360.00 sq.cm respectively, its T.S.A is

(i)

820.00 sq.cm
(ii)

775.00 sq.cm
(iii)

787.00 sq.cm
(iv)

802.00 sq.cm
(v)

819.00 sq.cm

Question 7

7.

A conical vessel of radius 10.00 cm and height 24.00 cm is completely filled with water. A sphere is lowered into the water and its size is such that when it touches the sides, it is just immersed. Find the fraction of the water that overflows

(i)

40
83
(ii)

14
27
(iii)

40
81
(iv)

40
79
(v)

38
81

Question 8

8.

If the slant height of a cone is 11.66 cm and vertical height is 6.00 cm, its base area is

(i)

286.29 sq.cm
(ii)

314.29 sq.cm
(iii)

341.29 sq.cm
(iv)

301.29 sq.cm
(v)

330.29 sq.cm

Question 9

9.

If the length, breadth and T.S.A of a cuboid are 12.00 cm, 10.00 cm and 548.00 sq.cm respectively, its height is

(i)

8.00 cm
(ii)

9.00 cm
(iii)

5.00 cm
(iv)

6.00 cm
(v)

7.00 cm

Question 10

10.

If the L.S.A of a sphere is 5028.57 sq.cm, its volume is

(i)

31023.81 cu.cm
(ii)

34323.81 cu.cm
(iii)

31823.81 cu.cm
(iv)

36123.81 cu.cm
(v)

33523.81 cu.cm

Question 11

11.

If the radius of a cylinder is 18.00 cm and height is 12.00 cm, its volume is

(i)

9419.43 cu.cm
(ii)

13919.43 cu.cm
(iii)

12219.43 cu.cm
(iv)

12519.43 cu.cm
(v)

11019.43 cu.cm

Question 12

12.

From a circular cylinder of diameter 18.00 cm and height 15.00 cm, a conical cavity of the same base radius and of the same height is hollowed out. Find the volume of the remaining solid.

(i)

2485.71 cu.cm
(ii)

2545.71 cu.cm
(iii)

2715.71 cu.cm
(iv)

2295.71 cu.cm
(v)

2585.71 cu.cm

Question 13

13.

A hemispherical depression is cut out from both ends of a cylinder. The height of the cylinder is 39.00 cm and its radius is 10.00 cm. Find the total surface area of the solid

(i)

3838.57 sq.cm
(ii)

3788.57 sq.cm
(iii)

3458.57 sq.cm
(iv)

3648.57 sq.cm
(v)

3708.57 sq.cm

Question 14

14.

A conical vessel, whose internal radius is 14.00 cm and height 13.00 cm, is full of liquid . Its contents are emptied into a cylindrical vessel with internal radius 11.00 cm. Find the height to which the liquid rises in the cylindrical vessel.

(i)

5.02 cm
(ii)

6.02 cm
(iii)

8.02 cm
(iv)

9.02 cm
(v)

7.02 cm

Question 15

15.

A solid consists of a right circular cylinder with a hemisphere on one end and a cone on the other . The radius and height of the cylindrical part are 6.00 cm and 20.00 cm respectively. The radii of the hemispherical and conical parts are the same as that of the cylindrical part. Calculate the total surface area of the solid, if the height of the conical part is 11.00 cm

(i)

956.85 sq.cm
(ii)

1376.85 sq.cm
(iii)

1216.85 sq.cm
(iv)

1286.85 sq.cm
(v)

1186.85 sq.cm

Question 16

16.

If the L.S.A of a cube is 676.00 sq.cm, its side is

(i)

16.00 cm
(ii)

10.00 cm
(iii)

8.00 cm
(iv)

13.00 cm
(v)

18.00 cm

Question 17

17.

If the volume of a cube is 3375.00 cu.cm, its T.S.A is

(i)

1170.00 sq.cm
(ii)

1510.00 sq.cm
(iii)

1350.00 sq.cm
(iv)

1400.00 sq.cm

Question 18

18.

If the L.S.A of a cube is 1444.00 sq.cm, its T.S.A is

(i)

2166.00 sq.cm
(ii)

2086.00 sq.cm
(iii)

1886.00 sq.cm
(iv)

2226.00 sq.cm
(v)

2316.00 sq.cm

Question 19

19.

If the L.S.A of a triangular prism is 3000.00 sq.cm, T.S.A is 3219.08 sq.cm and height is 60.00 cm, its base perimeter is

(i)

45.00 cm
(ii)

55.00 cm
(iii)

53.00 cm
(iv)

50.00 cm
(v)

47.00 cm

Question 20

20.

If the slant height of a cone is 8.49 cm and vertical height is 6.00 cm, its base radius is

(i)

6.00 cm
(ii)

8.00 cm
(iii)

5.00 cm
(iv)

4.00 cm
(v)

7.00 cm

Question 21

21.

If the side of a cube is 13.00 cm, its T.S.A is

(i)

1054.00 sq.cm
(ii)

1184.00 sq.cm
(iii)

794.00 sq.cm
(iv)

874.00 sq.cm
(v)

1014.00 sq.cm

Question 22

22.

If the base radius of a cone is 10.00 cm and slant height is 11.18 cm, its base area is

(i)

307.29 sq.cm
(ii)

330.29 sq.cm
(iii)

314.29 sq.cm
(iv)

327.29 sq.cm
(v)

296.29 sq.cm

Question 23

23.

The surface area of a solid metallic sphere is 2828.57 sq.cm. It is melted and recasted into solid right circular cones of radius 7.50 cm and height 6.00 cm . Find the number of complete cones that can be made

(i)

40
(ii)

37
(iii)

43
(iv)

35
(v)

45

Question 24

24.

A farmer connects a pipe of internal diameter
8 cm

from a canal into a cylindrical tank in his field,

which is
8 m
in diameter and
1 m
deep.

If water flows through the pipe at the rate of
25

kmph
,

in how much time will the tank be filled ?

(i)

21.00 min
(ii)

27.00 min
(iii)

19.00 min
(iv)

29.00 min
(v)

24.00 min

Question 25

25.

If the L.S.A of a cube is 400.00 sq.cm, its volume is

(i)

1080.00 cu.cm
(ii)

850.00 cu.cm
(iii)

1000.00 cu.cm
(iv)

730.00 cu.cm
(v)

1240.00 cu.cm

Assignment Key