EduSahara™ Worksheet

Question 1

1.

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 volume of the solid, if the height of the conical part is 16.00 cm

(i)

4752.42 cu.cm
(ii)

4932.42 cu.cm
(iii)

4802.42 cu.cm
(iv)

4882.42 cu.cm
(v)

4522.42 cu.cm

Question 2

2.

If the volume of a sphere is 523.81 cu.cm, its radius is

(i)

6.00 cm
(ii)

3.00 cm
(iii)

4.00 cm
(iv)

5.00 cm
(v)

7.00 cm

Question 3

3.

A solid consists of a cylinder with one hemispherical end with length 23.00 cm and diameter 12.00 cm. Find the total surface area of the solid

(i)

1276.86 sq.cm
(ii)

1186.86 sq.cm
(iii)

936.86 sq.cm
(iv)

1466.86 sq.cm
(v)

1206.86 sq.cm

Question 4

4.

A cone of maximum volume is carved out of a cube of edge 16.00 cm. Find the volume of the remaining material after the cone is carved out

(i)

2963.24 cu.cm
(ii)

3203.24 cu.cm
(iii)

3023.24 cu.cm
(iv)

2893.24 cu.cm
(v)

3193.24 cu.cm

Question 5

5.

A solid consisting of a right circular cone, standing on a hemisphere is placed upright, in a right circular cylinder full of water and touches the bottom. The radius of the cylinder is 13.00 cm and height is 27.00 cm. The radius of the hemisphere is 9.00 cm and the height of the cone is 13.00 cm. Find the volume of water left in the cylinder.

(i)

10910.29 cu.cm
(ii)

12110.29 cu.cm
(iii)

14210.29 cu.cm
(iv)

9410.29 cu.cm
(v)

11710.29 cu.cm

Question 6

6.

If the base radius of a cone is 5.00 cm and T.S.A is 240.43 sq.cm, its base area is

(i)

78.57 sq.cm
(ii)

83.57 sq.cm
(iii)

81.57 sq.cm
(iv)

75.57 sq.cm
(v)

73.57 sq.cm

Question 7

7.

Two cubes each of volume 1331.00 cu.cm are joined end to end . Find the surface area of the resulting cuboid.

(i)

1210.00 sq.cm
(ii)

1360.00 sq.cm
(iii)

1050.00 sq.cm
(iv)

1180.00 sq.cm
(v)

1230.00 sq.cm

Question 8

8.

A solid metallic cylinder of base radius 9.00 cm and height 27.00 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)

6411
(ii)

6561
(iii)

6581
(iv)

6731
(v)

6401

Question 9

9.

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
50
3

kmph
,

in how much time will the tank be filled ?

(i)

36.00 min
(ii)

39.00 min
(iii)

41.00 min
(iv)

31.00 min
(v)

33.00 min

Question 10

10.

A cylindrical vessel of base radius 21.00 cm contains water . A solid sphere of radius 19.00 cm is immersed completely in the water. Find the rise in the water level in the vessel

(i)

20.74 cm
(ii)

15.74 cm
(iii)

23.74 cm
(iv)

17.74 cm
(v)

25.74 cm

Question 11

11.

A hemispherical depression is cut out from both ends of a cylinder. The height of the cylinder is 29.00 cm and its radius is 5.00 cm. Find the total surface area of the solid

(i)

965.71 sq.cm
(ii)

1075.71 sq.cm
(iii)

1225.71 sq.cm
(iv)

1355.71 sq.cm
(v)

1245.71 sq.cm

Question 12

12.

If the slant height of a cone is 10.82 cm and T.S.A is 560.62 sq.cm, its volume is

(i)

509.14 cu.cm
(ii)

501.14 cu.cm
(iii)

497.14 cu.cm
(iv)

526.14 cu.cm
(v)

525.14 cu.cm

Question 13

13.

If the base radius of a cone is 6.00 cm and slant height is 10.82 cm, its T.S.A is

(i)

317.18 sq.cm
(ii)

342.18 sq.cm
(iii)

321.18 sq.cm
(iv)

300.18 sq.cm
(v)

299.18 sq.cm

Question 14

14.

If the slant height of a cone is 11.18 cm and vertical height is 10.00 cm, its L.S.A. is

(i)

199.69 sq.cm
(ii)

157.69 sq.cm
(iii)

190.69 sq.cm
(iv)

175.69 sq.cm
(v)

158.69 sq.cm

Question 15

15.

If the T.S.A of a sphere is 4538.29 sq.cm, its radius is

(i)

19.00 cm
(ii)

14.00 cm
(iii)

16.00 cm
(iv)

24.00 cm
(v)

22.00 cm

Question 16

16.

Water in a canal, 7 m wide and 2 m deep is flowing with a speed of 19 kmph . How much area will it irrigate in 10 min, if 4 cm of standing water is needed ?

(i)

1108333.33 sq.m
(ii)

1148333.33 sq.m
(iii)

938333.33 sq.m
(iv)

1028333.33 sq.m
(v)

1388333.33 sq.m

Question 17

17.

If the base radius of a cone is 9.00 cm and L.S.A is 340.56 sq.cm, its base area is

(i)

254.57 sq.cm
(ii)

228.57 sq.cm
(iii)

266.57 sq.cm
(iv)

237.57 sq.cm
(v)

282.57 sq.cm

Question 18

18.

If the base radius of a cone is 9.00 cm and volume is 763.71 cu.cm, its slant height is

(i)

17.73 cm
(ii)

15.73 cm
(iii)

7.73 cm
(iv)

12.73 cm
(v)

9.73 cm

Question 19

19.

If the base radius of a cone is 6.00 cm and L.S.A is 173.86 sq.cm, its T.S.A is

(i)

263.01 sq.cm
(ii)

305.01 sq.cm
(iii)

287.01 sq.cm
(iv)

294.01 sq.cm
(v)

284.01 sq.cm

Question 20

20.

If the base radius of a cone is 10.00 cm and T.S.A is 665.66 sq.cm, its volume is

(i)

539.81 cu.cm
(ii)

508.81 cu.cm
(iii)

523.81 cu.cm
(iv)

541.81 cu.cm
(v)

517.81 cu.cm

Question 21

21.

If the base radius of a cone is 9.00 cm and vertical height is 6.00 cm, its slant height is

(i)

10.82 cm
(ii)

7.82 cm
(iii)

15.82 cm
(iv)

5.82 cm
(v)

13.82 cm

Question 22

22.

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

(i)

464.57 sq.cm
(ii)

429.57 sq.cm
(iii)

452.57 sq.cm
(iv)

447.57 sq.cm
(v)

480.57 sq.cm

Question 23

23.

If the slant height of a cone is 11.66 cm and vertical height is 10.00 cm, its base area is

(i)

110.14 sq.cm
(ii)

113.14 sq.cm
(iii)

139.14 sq.cm
(iv)

115.14 sq.cm
(v)

89.14 sq.cm

Question 24

24.

An ice cream container has the shape of a right circular cylinder having inner diameter 26.00 cm and height 32.00 cm . The ice cream is filled into cones of diameter 11.00 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)

12
(ii)

17
(iii)

14
(iv)

20
(v)

22

Question 25

25.

If the vertical height of a cone is 5.00 cm and volume is 188.57 cu.cm, its T.S.A is

(i)

287.42 sq.cm
(ii)

260.42 sq.cm
(iii)

246.42 sq.cm
(iv)

268.42 sq.cm
(v)

242.42 sq.cm

Assignment Key