EduSahara™ Worksheet

Question 1

1.

If the volume of a cube is 4096.00 cu.cm, its side is

(i)

11.00 cm
(ii)

13.00 cm
(iii)

19.00 cm
(iv)

16.00 cm
(v)

21.00 cm

Question 2

2.

If the height of a cylinder is 7.00 cm and volume is 3168.00 cu.cm, its radius is

(i)

7.00 cm
(ii)

12.00 cm
(iii)

17.00 cm
(iv)

9.00 cm
(v)

15.00 cm

Question 3

3.

A conical vessel, whose internal radius is 14.50 cm and height 8.00 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)

2.63 cm
(ii)

6.63 cm
(iii)

3.63 cm
(iv)

5.63 cm
(v)

4.63 cm

Question 4

4.

If the length, breadth and L.S.A of a cuboid are 20.00 cm, 10.00 cm and 960.00 sq.cm respectively, its volume is

(i)

3040.00 cu.cm
(ii)

3200.00 cu.cm
(iii)

3230.00 cu.cm
(iv)

3360.00 cu.cm
(v)

2980.00 cu.cm

Question 5

5.

A well of diameter 11.00 m is dug to a depth of 10.00 m and the soil from digging is evenly spread out to form a platform of base dimensions 16.00 m✕23.00 m . Find the height of the platform

(i)

4.58 m
(ii)

3.58 m
(iii)

1.58 m
(iv)

0.58 m
(v)

2.58 m

Question 6

6.

If the radius of a cylinder is 19.00 cm and volume is 7942.00 cu.cm, its height is

(i)

5.00 cm
(ii)

9.00 cm
(iii)

8.00 cm
(iv)

7.00 cm
(v)

6.00 cm

Question 7

7.

From a circular cylinder of diameter 12.00 cm and height 17.00 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)

1282.29 cu.cm
(ii)

1102.29 cu.cm
(iii)

1332.29 cu.cm
(iv)

1152.29 cu.cm
(v)

1462.29 cu.cm

Question 8

8.

If the breadth, height and volume of a cuboid are 14.00 cm, 18.00 cm and 4536.00 cu.cm respectively, its T.S.A is

(i)

1476.00 sq.cm
(ii)

1826.00 sq.cm
(iii)

1656.00 sq.cm
(iv)

1686.00 sq.cm

Question 9

9.

If the height of a cylinder is 14.00 cm and T.S.A is 1728.57 sq.cm, its volume is

(i)

5344.00 cu.cm
(ii)

5324.00 cu.cm
(iii)

5274.00 cu.cm
(iv)

5564.00 cu.cm
(v)

5104.00 cu.cm

Question 10

10.

From a solid cylinder of height 16.00 cm and base radius 7.50 cm, a conical cavity of height 8.00 cm and base radius 7.50 cm is drilled out. Find the total surface area of the resulting solid

(i)

1369.65 sq.cm
(ii)

1069.65 sq.cm
(iii)

1189.65 sq.cm
(iv)

1359.65 sq.cm
(v)

1129.65 sq.cm

Question 11

11.

If the length, height and L.S.A of a cuboid are 15.00 cm, 17.00 cm and 714.00 sq.cm respectively, its breadth is

(i)

5.00 cm
(ii)

8.00 cm
(iii)

7.00 cm
(iv)

6.00 cm
(v)

4.00 cm

Question 12

12.

If the slant height of a cone is 13.45 cm and vertical height is 10.00 cm, its base radius is

(i)

11.00 cm
(ii)

10.00 cm
(iii)

9.00 cm
(iv)

8.00 cm
(v)

7.00 cm

Question 13

13.

If the T.S.A of a sphere is 3633.14 sq.cm, its volume is

(i)

21787.81 cu.cm
(ii)

20587.81 cu.cm
(iii)

17887.81 cu.cm
(iv)

19087.81 cu.cm
(v)

22287.81 cu.cm

Question 14

14.

If the height of a cylinder is 6.00 cm and L.S.A is 716.57 sq.cm, its base area is

(i)

1264.57 sq.cm
(ii)

1274.57 sq.cm
(iii)

1134.57 sq.cm
(iv)

1084.57 sq.cm
(v)

914.57 sq.cm

Question 15

15.

A hollow metallic cylindrical tube has an internal radius of 6.00 cm and height 24.00 cm. The thickness of the metal is 5 cm .The tube is melted to cast into a right circular cone of height 12.00 cm. Find the radius of the cone.

(i)

27.58 cm
(ii)

17.58 cm
(iii)

25.58 cm
(iv)

19.58 cm
(v)

22.58 cm

Question 16

16.

If the length, breadth and T.S.A of a cuboid are 19.00 cm, 17.00 cm and 1366.00 sq.cm respectively, its L.S.A is

(i)

720.00 sq.cm
(ii)

703.00 sq.cm
(iii)

698.00 sq.cm
(iv)

722.00 sq.cm
(v)

743.00 sq.cm

Question 17

17.

An ice cream container has the shape of a right circular cylinder having inner diameter 28.00 cm and height 31.00 cm . The ice cream is filled into cones of diameter 14.00 cm and height 19.00 cm , having a hemispherical shape on the top. Find the number of such complete cones which can be filled with ice cream

(i)

11
(ii)

6
(iii)

8
(iv)

14
(v)

16

Question 18

18.

If the radius of a cylinder is 17.00 cm and height is 11.00 cm, its L.S.A. is

(i)

1035.43 sq.cm
(ii)

1325.43 sq.cm
(iii)

1305.43 sq.cm
(iv)

1175.43 sq.cm

Question 19

19.

A tent is in the form of a cylinder surmounted by a cone., The height of the tent above the ground is 24 m and the height of the cylindrical part is 16.00 m. If the diameter of the base is 26.00 m, find the quantity of canvas required to make the tent. Allow 5% extra for folds and for stitching.

(i)

2177.45 sq.m
(ii)

2267.45 sq.m
(iii)

1857.45 sq.m
(iv)

1867.45 sq.m
(v)

2027.45 sq.m

Question 20

20.

If the length, breadth and T.S.A of a cuboid are 19.00 cm, 16.00 cm and 1098.00 sq.cm respectively, its height is

(i)

5.00 cm
(ii)

7.00 cm
(iii)

9.00 cm
(iv)

6.00 cm
(v)

8.00 cm

Question 21

21.

If the length, breadth and height of a cuboid are 18.00 cm, 9.00 cm and 7.00 cm respectively, its T.S.A is

(i)

690.00 sq.cm
(ii)

702.00 sq.cm
(iii)

685.00 sq.cm
(iv)

717.00 sq.cm
(v)

709.00 sq.cm

Question 22

22.

If the base radius of a cone is 9.00 cm and L.S.A is 322.46 sq.cm, its base area is

(i)

254.57 sq.cm
(ii)

227.57 sq.cm
(iii)

271.57 sq.cm
(iv)

268.57 sq.cm
(v)

250.57 sq.cm

Question 23

23.

If the side of a cube is 14.00 cm, its volume is

(i)

3024.00 cu.cm
(ii)

2594.00 cu.cm
(iii)

2744.00 cu.cm
(iv)

2864.00 cu.cm
(v)

2504.00 cu.cm

Question 24

24.

If the length, breadth and height of a cuboid are 20.00 cm, 19.00 cm and 14.00 cm respectively, its L.S.A is

(i)

1332.00 sq.cm
(ii)

1252.00 sq.cm
(iii)

922.00 sq.cm
(iv)

1072.00 sq.cm
(v)

1092.00 sq.cm

Question 25

25.

If the slant height of a cone is 11.40 cm and L.S.A is 322.46 sq.cm, its base radius is

(i)

10.00 cm
(ii)

8.00 cm
(iii)

7.00 cm
(iv)

11.00 cm
(v)

9.00 cm

Assignment Key