EduSahara™ Worksheet

Question 1

1.

If the height of a cylinder is 11.00 cm and L.S.A is 1106.29 sq.cm, its volume is

(i)

8820.29 cu.cm
(ii)

8850.29 cu.cm
(iii)

8670.29 cu.cm
(iv)

8990.29 cu.cm
(v)

9110.29 cu.cm

Question 2

2.

A cylinder with radius 9.00 cm and height 6.00 cm is melted to recast into a cone of height 14.58 cm. Find the radius of the cone.

(i)

10.00 cm
(ii)

13.00 cm
(iii)

7.00 cm
(iv)

15.00 cm
(v)

5.00 cm

Question 3

3.

A hollow metallic cylindrical tube has an internal radius of 9.00 cm and height 12.00 cm. The thickness of the metal is 4.5 cm .The tube is melted to cast into a right circular cone of height 7.00 cm. Find the radius of the cone.

(i)

27.82 cm
(ii)

22.82 cm
(iii)

17.82 cm
(iv)

25.82 cm
(v)

19.82 cm

Question 4

4.

If the height of a cylinder is 8.00 cm and L.S.A is 452.57 sq.cm, its T.S.A is

(i)

961.71 sq.cm
(ii)

953.71 sq.cm
(iii)

984.71 sq.cm
(iv)

967.71 sq.cm
(v)

934.71 sq.cm

Question 5

5.

From a circular cylinder of diameter 20.00 cm and height 20.00 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)

4110.48 cu.cm
(ii)

4320.48 cu.cm
(iii)

4210.48 cu.cm
(iv)

4050.48 cu.cm
(v)

4190.48 cu.cm

Question 6

6.

If the height of a cylinder is 14.00 cm and volume is 8624.00 cu.cm, its L.S.A. is

(i)

1072.00 sq.cm
(ii)

1182.00 sq.cm
(iii)

1232.00 sq.cm
(iv)

1372.00 sq.cm
(v)

1252.00 sq.cm

Question 7

7.

The radii of the ends of a frustum of a right circular cone 11.00 cm high are 12.50 cm and 4.00 cm. Its slant height is

(i)

13.90 cm
(ii)

8.90 cm
(iii)

16.90 cm
(iv)

18.90 cm
(v)

10.90 cm

Question 8

8.

A solid consists of a cylinder with one hemispherical end with length 29.00 cm and diameter 15.00 cm. Find the total surface area of the solid

(i)

1777.50 sq.cm
(ii)

1857.50 sq.cm
(iii)

2137.50 sq.cm
(iv)

2017.50 sq.cm
(v)

1897.50 sq.cm

Question 9

9.

Two cubes each of volume 1728.00 cu.cm are joined end to end . Find the surface area of the resulting cuboid.

(i)

1320.00 sq.cm
(ii)

1440.00 sq.cm
(iii)

1510.00 sq.cm
(iv)

1290.00 sq.cm
(v)

1560.00 sq.cm

Question 10

10.

If the base radius of a cone is 5.00 cm and L.S.A is 175.69 sq.cm, its volume is

(i)

269.90 cu.cm
(ii)

235.90 cu.cm
(iii)

261.90 cu.cm
(iv)

273.90 cu.cm
(v)

244.90 cu.cm

Question 11

11.

If the length, breadth and volume of a cuboid are 19.00 cm, 17.00 cm and 4199.00 cu.cm respectively, its height is

(i)

16.00 cm
(ii)

8.00 cm
(iii)

10.00 cm
(iv)

18.00 cm
(v)

13.00 cm

Question 12

12.

If the slant height of a cone is 10.82 cm and L.S.A is 306.05 sq.cm, its T.S.A is

(i)

560.62 sq.cm
(ii)

544.62 sq.cm
(iii)

577.62 sq.cm
(iv)

542.62 sq.cm
(v)

583.62 sq.cm

Question 13

13.

If the slant height of a cone is 9.22 cm and vertical height is 6.00 cm, its volume is

(i)

308.00 cu.cm
(ii)

322.00 cu.cm
(iii)

294.00 cu.cm
(iv)

296.00 cu.cm
(v)

316.00 cu.cm

Question 14

14.

If the radius of a cylinder is 17.00 cm and height is 20.00 cm, its volume is

(i)

15565.71 cu.cm
(ii)

17865.71 cu.cm
(iii)

20965.71 cu.cm
(iv)

18765.71 cu.cm
(v)

18165.71 cu.cm

Question 15

15.

If the volume of a sphere is 20587.81 cu.cm, its T.S.A is

(i)

3693.14 sq.cm
(ii)

3593.14 sq.cm
(iii)

3633.14 sq.cm
(iv)

3483.14 sq.cm
(v)

3803.14 sq.cm

Question 16

16.

If the radius of a cylinder is 8.00 cm and L.S.A is 502.86 sq.cm, its volume is

(i)

1831.43 cu.cm
(ii)

2011.43 cu.cm
(iii)

2141.43 cu.cm
(iv)

2071.43 cu.cm

Question 17

17.

If the breadth, height and T.S.A of a cuboid are 9.00 cm, 12.00 cm and 762.00 sq.cm respectively, its length is

(i)

8.00 cm
(ii)

16.00 cm
(iii)

18.00 cm
(iv)

10.00 cm
(v)

13.00 cm

Question 18

18.

If the T.S.A of a sphere is 1018.29 sq.cm, its radius is

(i)

9.00 cm
(ii)

8.00 cm
(iii)

10.00 cm
(iv)

11.00 cm
(v)

7.00 cm

Question 19

19.

If the breadth, height and L.S.A of a cuboid are 16.00 cm, 14.00 cm and 1008.00 sq.cm respectively, its volume is

(i)

4480.00 cu.cm
(ii)

4740.00 cu.cm
(iii)

4560.00 cu.cm
(iv)

4360.00 cu.cm
(v)

4410.00 cu.cm

Question 20

20.

If the height of a cylinder is 15.00 cm and L.S.A is 1414.29 sq.cm, its base area is

(i)

725.14 sq.cm
(ii)

707.14 sq.cm
(iii)

695.14 sq.cm
(iv)

681.14 sq.cm
(v)

723.14 sq.cm

Question 21

21.

If the length, height and L.S.A of a cuboid are 20.00 cm, 17.00 cm and 1326.00 sq.cm respectively, its T.S.A is

(i)

2256.00 sq.cm
(ii)

2036.00 sq.cm
(iii)

1816.00 sq.cm
(iv)

2266.00 sq.cm
(v)

2086.00 sq.cm

Question 22

22.

If the volume of a sphere is 33523.81 cu.cm, its L.S.A is

(i)

4898.57 sq.cm
(ii)

4878.57 sq.cm
(iii)

5248.57 sq.cm
(iv)

5048.57 sq.cm
(v)

5028.57 sq.cm

Question 23

23.

The height of a right circular cone is 28.00 cm and the radius of its base is 15.00 cm. It is melted and recast into a right circular cone with base radius 10.50 cm. Find the new height

(i)

62.14 cm
(ii)

52.14 cm
(iii)

54.14 cm
(iv)

60.14 cm
(v)

57.14 cm

Question 24

24.

If the height of a cylinder is 10.00 cm and T.S.A is 2112.00 sq.cm, its base area is

(i)

602.00 sq.cm
(ii)

618.00 sq.cm
(iii)

643.00 sq.cm
(iv)

616.00 sq.cm

Question 25

25.

A hollow sphere of internal and external diameters 24.00 cm and 30.00 cm respectively is melted into a cone of base diameter 12.00 cm. Find the height of the cone

(i)

161.00 cm
(ii)

200.00 cm
(iii)

169.00 cm
(iv)

209.00 cm
(v)

183.00 cm

Assignment Key