EduSahara™ Worksheet

Question 1

1.

A metallic sphere of radius 14.00 cm is melted to recast into the shape of a cylinder of radius 18.00 cm . Find the height of the cylinder.

(i)

8.29 cm
(ii)

11.29 cm
(iii)

14.29 cm
(iv)

6.29 cm
(v)

16.29 cm

Question 2

2.

If the three sides of a triangular prism are 14.00 cm, 13.00 cm, 8.00 cm and height is 48.00 cm, its base area is

(i)

51.17 sq.cm
(ii)

48.17 sq.cm
(iii)

46.17 sq.cm
(iv)

56.17 sq.cm
(v)

54.17 sq.cm

Question 3

3.

If the length, height and L.S.A of a cuboid are 19.00 cm, 16.00 cm and 1056.00 sq.cm respectively, its T.S.A is

(i)

1748.00 sq.cm
(ii)

1588.00 sq.cm
(iii)

1828.00 sq.cm
(iv)

1408.00 sq.cm
(v)

1438.00 sq.cm

Question 4

4.

If the T.S.A of a sphere is 804.57 sq.cm, its L.S.A is

(i)

789.57 sq.cm
(ii)

821.57 sq.cm
(iii)

790.57 sq.cm
(iv)

804.57 sq.cm
(v)

812.57 sq.cm

Question 5

5.

If the length, breadth and volume of a cuboid are 10.00 cm, 5.00 cm and 600.00 cu.cm respectively, its height is

(i)

12.00 cm
(ii)

15.00 cm
(iii)

9.00 cm
(iv)

7.00 cm
(v)

17.00 cm

Question 6

6.

If the base radius of a cone is 5.00 cm and slant height is 7.81 cm, its vertical height is

(i)

8.00 cm
(ii)

5.00 cm
(iii)

6.00 cm
(iv)

4.00 cm
(v)

7.00 cm

Question 7

7.

From a solid cylinder of height 13.00 cm and base radius 6.00 cm, a conical cavity of height 5.00 cm and base radius 6.00 cm is drilled out. Find the volume of the resulting solid

(i)

1002.29 cu.cm
(ii)

1232.29 cu.cm
(iii)

1442.29 cu.cm
(iv)

1462.29 cu.cm
(v)

1282.29 cu.cm

Question 8

8.

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

(i)

6719.00 cu.cm
(ii)

6859.00 cu.cm
(iii)

6979.00 cu.cm
(iv)

7029.00 cu.cm
(v)

6599.00 cu.cm

Question 9

9.

A solid metallic cylinder of base radius 12.50 cm and height 12.00 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)

5625
(ii)

5855
(iii)

5375
(iv)

5585
(v)

5795

Question 10

10.

If the length, breadth and L.S.A of a cuboid are 9.00 cm, 6.00 cm and 360.00 sq.cm respectively, its height is

(i)

17.00 cm
(ii)

9.00 cm
(iii)

7.00 cm
(iv)

15.00 cm
(v)

12.00 cm

Question 11

11.

If the slant height of a cone is 10.63 cm and vertical height is 8.00 cm, its base area is

(i)

154.00 sq.cm
(ii)

167.00 sq.cm
(iii)

180.00 sq.cm
(iv)

136.00 sq.cm
(v)

127.00 sq.cm

Question 12

12.

Two cubes each of volume 5832.00 cu.cm are joined end to end . Find the surface area of the resulting cuboid.

(i)

3470.00 sq.cm
(ii)

3240.00 sq.cm
(iii)

3210.00 sq.cm
(iv)

3100.00 sq.cm
(v)

3300.00 sq.cm

Question 13

13.

A wooden toy rocket is in the shape of a cone mounted on a cylinder. The height of the conical part is 14.00 cm , while the height of the cylindrical part is 28.00 cm. The base of the conical portion has a diameter of 16.00 cm while the base diameter of the cylindrical portion is 10.00 cm. If the conical portion is painted with red and cylindrical portion with orange, find the area of the rocket painted with each of these colors

(i)
red

area =

525.87 sq.cm

,

orange

area =

956.57 sq.cm
(ii)
red

area =

529.87 sq.cm

,

orange

area =

960.57 sq.cm
(iii)
red

area =

526.87 sq.cm

,

orange

area =

957.57 sq.cm
(iv)
red

area =

528.87 sq.cm

,

orange

area =

959.57 sq.cm
(v)
red

area =

527.87 sq.cm

,

orange

area =

958.57 sq.cm

Question 14

14.

If the T.S.A of a cube is 1734.00 sq.cm, its side is

(i)

14.00 cm
(ii)

22.00 cm
(iii)

12.00 cm
(iv)

20.00 cm
(v)

17.00 cm

Question 15

15.

If the base radius of a cone is 5.00 cm and vertical height is 8.00 cm, its base area is

(i)

78.57 sq.cm
(ii)

83.57 sq.cm
(iii)

73.57 sq.cm
(iv)

75.57 sq.cm
(v)

81.57 sq.cm

Question 16

16.

If the slant height of a cone is 10.82 cm and vertical height is 9.00 cm, its T.S.A is

(i)

317.18 sq.cm
(ii)

302.18 sq.cm
(iii)

334.18 sq.cm
(iv)

331.18 sq.cm
(v)

289.18 sq.cm

Question 17

17.

A cone of maximum volume is carved out of a cube of edge 21.00 cm. Find the volume of the cone

(i)

2425.50 cu.cm
(ii)

2205.50 cu.cm
(iii)

2485.50 cu.cm
(iv)

2355.50 cu.cm
(v)

2575.50 cu.cm

Question 18

18.

If the three sides of a triangular prism are 18.00 cm, 17.00 cm, 14.00 cm and L.S.A is 2352.00 sq.cm, its height is

(i)

45.00 cm
(ii)

48.00 cm
(iii)

53.00 cm
(iv)

51.00 cm
(v)

43.00 cm

Question 19

19.

If the length, breadth and volume of a cuboid are 14.00 cm, 13.00 cm and 2730.00 cu.cm respectively, its T.S.A is

(i)

1174.00 sq.cm
(ii)

1334.00 sq.cm
(iii)

894.00 sq.cm
(iv)

1354.00 sq.cm
(v)

1024.00 sq.cm

Question 20

20.

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 6.50 cm and 26.50 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 16.00 cm

(i)

1541.09 sq.cm
(ii)

1851.09 sq.cm
(iii)

1701.09 sq.cm
(iv)

1781.09 sq.cm

Question 21

21.

If the base radius of a cone is 10.00 cm and vertical height is 6.00 cm, its L.S.A. is

(i)

379.46 sq.cm
(ii)

341.46 sq.cm
(iii)

364.46 sq.cm
(iv)

366.46 sq.cm
(v)

382.46 sq.cm

Question 22

22.

If the L.S.A of a sphere is 1810.29 sq.cm, its radius is

(i)

9.00 cm
(ii)

12.00 cm
(iii)

15.00 cm
(iv)

7.00 cm
(v)

17.00 cm

Question 23

23.

A farmer connects a pipe of internal diameter
8 cm

from a canal into a cylindrical tank in his field,

which is
4 m
in diameter and
2 m
deep.

If water flows through the pipe at the rate of
25

kmph
,

in how much time will the tank be filled ?

(i)

15.00 min
(ii)

17.00 min
(iii)

7.00 min
(iv)

9.00 min
(v)

12.00 min

Question 24

24.

A conical vessel of radius 3.00 cm and height 4.00 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)

3
8
(ii)

1
2
(iii)

3
10
(iv)

5
8
(v)

1
8

Question 25

25.

Marbles of diameter 1.00 cm are dropped into a cylindrical beaker containing some water. When they are fully submerged, the water level rises by 8 cm. If the diameter of the beaker is 14.00 cm, find the number of marbles that are dropped in it

(i)

2192
(ii)

2202
(iii)

2352
(iv)

2492
(v)

2472

Assignment Key