EduSahara™ Worksheet

Question 1

1.

If the T.S.A of a cube is 1536.00 sq.cm, its volume is

(i)

4096.00 cu.cm
(ii)

3846.00 cu.cm
(iii)

4116.00 cu.cm
(iv)

4366.00 cu.cm
(v)

3976.00 cu.cm

Question 2

2.

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

(i)

83.57 sq.cm
(ii)

73.57 sq.cm
(iii)

81.57 sq.cm
(iv)

78.57 sq.cm
(v)

75.57 sq.cm

Question 3

3.

From a circular cylinder of diameter 18.00 cm and height 14.00 cm, a conical cavity of the same base radius and of the same height is hollowed out. Find the total surface area of the remaining solid.

(i)

1517.25 sq.cm
(ii)

1647.25 sq.cm
(iii)

1297.25 sq.cm
(iv)

1787.25 sq.cm
(v)

1357.25 sq.cm

Question 4

4.

If the radius of a cylinder is 5.00 cm and volume is 707.14 cu.cm, its T.S.A is

(i)

466.00 sq.cm
(ii)

448.00 sq.cm
(iii)

415.00 sq.cm
(iv)

423.00 sq.cm
(v)

440.00 sq.cm

Question 5

5.

If the height of a cylinder is 17.00 cm and T.S.A is 4299.43 sq.cm, its radius is

(i)

16.00 cm
(ii)

19.00 cm
(iii)

22.00 cm
(iv)

14.00 cm
(v)

24.00 cm

Question 6

6.

If the length, breadth and volume of a cuboid are 13.00 cm, 12.00 cm and 2496.00 cu.cm respectively, its T.S.A is

(i)

1142.00 sq.cm
(ii)

1282.00 sq.cm
(iii)

952.00 sq.cm
(iv)

872.00 sq.cm
(v)

1112.00 sq.cm

Question 7

7.

If the radius of a cylinder is 18.00 cm and height is 14.00 cm, its T.S.A is

(i)

3620.57 sq.cm
(ii)

3660.57 sq.cm
(iii)

3440.57 sq.cm
(iv)

3890.57 sq.cm
(v)

3550.57 sq.cm

Question 8

8.

If the breadth, height and T.S.A of a cuboid are 14.00 cm, 5.00 cm and 710.00 sq.cm respectively, its L.S.A is

(i)

292.00 sq.cm
(ii)

304.00 sq.cm
(iii)

287.00 sq.cm
(iv)

266.00 sq.cm
(v)

290.00 sq.cm

Question 9

9.

If the volume of a sphere is 905.14 cu.cm, its T.S.A is

(i)

429.57 sq.cm
(ii)

474.57 sq.cm
(iii)

466.57 sq.cm
(iv)

452.57 sq.cm
(v)

434.57 sq.cm

Question 10

10.

If the base radius of a cone is 8.00 cm and T.S.A is 485.51 sq.cm, its L.S.A. is

(i)

301.37 sq.cm
(ii)

278.37 sq.cm
(iii)

284.37 sq.cm
(iv)

299.37 sq.cm
(v)

272.37 sq.cm

Question 11

11.

If the height of a cylinder is 9.00 cm and T.S.A is 704.00 sq.cm, its base area is

(i)

166.00 sq.cm
(ii)

169.00 sq.cm
(iii)

154.00 sq.cm
(iv)

150.00 sq.cm
(v)

136.00 sq.cm

Question 12

12.

If the length, height and L.S.A of a cuboid are 19.00 cm, 5.00 cm and 350.00 sq.cm respectively, its volume is

(i)

1240.00 cu.cm
(ii)

1580.00 cu.cm
(iii)

1780.00 cu.cm
(iv)

1520.00 cu.cm
(v)

1450.00 cu.cm

Question 13

13.

If the radius of a sphere is 18.00 cm, its T.S.A is

(i)

4073.14 sq.cm
(ii)

3833.14 sq.cm
(iii)

3913.14 sq.cm
(iv)

4193.14 sq.cm
(v)

4103.14 sq.cm

Question 14

14.

A farmer connects a pipe of internal diameter
12 cm

from a canal into a cylindrical tank in his field,

which is
4 m
in diameter and
3 m
deep.

If water flows through the pipe at the rate of
25
6

kmph
,

in how much time will the tank be filled ?

(i)

48.00 min
(ii)

45.00 min
(iii)

51.00 min
(iv)

43.00 min
(v)

53.00 min

Question 15

15.

A cone of maximum volume is carved out of a cuboid of dimensions 21.00 cm✕21.00 cm✕16.00 cm. Find the volume of the remaining material after the cone is carved out

(i)

4988.00 cu.cm
(ii)

5078.00 cu.cm
(iii)

5208.00 cu.cm
(iv)

5248.00 cu.cm
(v)

5458.00 cu.cm

Question 16

16.

If the radius of a sphere is 19.00 cm, its volume is

(i)

28242.48 cu.cm
(ii)

30342.48 cu.cm
(iii)

28742.48 cu.cm
(iv)

27342.48 cu.cm
(v)

30542.48 cu.cm

Question 17

17.

If the slant height of a cone is 10.30 cm and T.S.A is 240.43 sq.cm, its vertical height is

(i)

11.00 cm
(ii)

7.00 cm
(iii)

8.00 cm
(iv)

10.00 cm
(v)

9.00 cm

Question 18

18.

If the length, breadth and volume of a cuboid are 11.00 cm, 10.00 cm and 1210.00 cu.cm respectively, its L.S.A is

(i)

460.00 sq.cm
(ii)

462.00 sq.cm
(iii)

445.00 sq.cm
(iv)

477.00 sq.cm
(v)

475.00 sq.cm

Question 19

19.

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 7.50 cm and 28.50 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)

2113.65 sq.cm
(ii)

2393.65 sq.cm
(iii)

1873.65 sq.cm
(iv)

2153.65 sq.cm
(v)

1943.65 sq.cm

Question 20

20.

A conical vessel, whose internal radius is 4.50 cm and height 7.00 cm, is full of liquid . Its contents are emptied into a cylindrical vessel with internal radius 2.00 cm. Find the height to which the liquid rises in the cylindrical vessel.

(i)

14.81 cm
(ii)

6.81 cm
(iii)

11.81 cm
(iv)

16.81 cm
(v)

8.81 cm

Question 21

21.

A well of diameter 15.00 m is dug to a depth of 17.00 m . The soil taken out of it has been spread evenly all around it in the shape of a circular ring of width 12m to form an embankment. Find the height of the embankment.

(i)

3.95 m
(ii)

1.95 m
(iii)

0.95 m
(iv)

4.95 m
(v)

2.95 m

Question 22

22.

If the height of a cylinder is 7.00 cm and L.S.A is 616.00 sq.cm, its volume is

(i)

4232.00 cu.cm
(ii)

4312.00 cu.cm
(iii)

4072.00 cu.cm
(iv)

4352.00 cu.cm
(v)

4462.00 cu.cm

Question 23

23.

If the length, breadth and L.S.A of a cuboid are 20.00 cm, 16.00 cm and 1224.00 sq.cm respectively, its T.S.A is

(i)

2024.00 sq.cm
(ii)

1944.00 sq.cm
(iii)

1634.00 sq.cm
(iv)

1704.00 sq.cm
(v)

1864.00 sq.cm

Question 24

24.

From a solid cylinder of height 15.00 cm and base radius 9.00 cm, a conical cavity of height 6.00 cm and base radius 9.00 cm is drilled out. Find the total surface area of the resulting solid

(i)

1589.19 sq.cm
(ii)

1239.19 sq.cm
(iii)

1409.19 sq.cm
(iv)

1539.19 sq.cm
(v)

1349.19 sq.cm

Question 25

25.

If the slant height of a cone is 12.81 cm and T.S.A is 523.22 sq.cm, its volume is

(i)

668.48 cu.cm
(ii)

652.48 cu.cm
(iii)

675.48 cu.cm
(iv)

694.48 cu.cm
(v)

670.48 cu.cm

Assignment Key