EduSahara™ Worksheet

Question 1

1.

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

(i)

10.00 cm
(ii)

9.00 cm
(iii)

7.00 cm
(iv)

11.00 cm
(v)

8.00 cm

Question 2

2.

If the vertical height of a cone is 10.00 cm and volume is 848.57 cu.cm, its base radius is

(i)

11.00 cm
(ii)

9.00 cm
(iii)

7.00 cm
(iv)

10.00 cm
(v)

8.00 cm

Question 3

3.

A cone of maximum volume is carved out of a cuboid of dimensions 16.00 cm✕16.00 cm✕25.00 cm. Find the volume of the remaining material after the cone is carved out

(i)

4723.81 cu.cm
(ii)

4883.81 cu.cm
(iii)

4603.81 cu.cm
(iv)

4853.81 cu.cm
(v)

4573.81 cu.cm

Question 4

4.

A cylinder with radius 10.00 cm and height 3.00 cm is melted to recast into a cone of height 100.00 cm. Find the radius of the cone.

(i)

1.00 cm
(ii)

4.00 cm
(iii)

3.00 cm
(iv)

2.00 cm
(v)

5.00 cm

Question 5

5.

If the base radius of a cone is 8.00 cm and L.S.A is 267.27 sq.cm, its slant height is

(i)

5.63 cm
(ii)

15.63 cm
(iii)

13.63 cm
(iv)

10.63 cm
(v)

7.63 cm

Question 6

6.

If the L.S.A of a sphere is 314.29 sq.cm, its radius is

(i)

4.00 cm
(ii)

7.00 cm
(iii)

6.00 cm
(iv)

3.00 cm
(v)

5.00 cm

Question 7

7.

If the radius of a sphere is 16.00 cm, its T.S.A is

(i)

3438.29 sq.cm
(ii)

3398.29 sq.cm
(iii)

3078.29 sq.cm
(iv)

3218.29 sq.cm
(v)

3158.29 sq.cm

Question 8

8.

If the volume of a sphere is 14142.86 cu.cm, its L.S.A is

(i)

2698.57 sq.cm
(ii)

2788.57 sq.cm
(iii)

2828.57 sq.cm
(iv)

2978.57 sq.cm
(v)

2848.57 sq.cm

Question 9

9.

If the slant height of a cone is 12.81 cm and L.S.A is 322.08 sq.cm, its volume is

(i)

677.48 cu.cm
(ii)

655.48 cu.cm
(iii)

670.48 cu.cm
(iv)

684.48 cu.cm
(v)

652.48 cu.cm

Question 10

10.

If the base radius of a cone is 7.00 cm and vertical height is 5.00 cm, its L.S.A. is

(i)

189.20 sq.cm
(ii)

181.20 sq.cm
(iii)

215.20 sq.cm
(iv)

202.20 sq.cm
(v)

162.20 sq.cm

Question 11

11.

If the slant height of a cone is 12.21 cm and T.S.A is 422.62 sq.cm, its base radius is

(i)

7.00 cm
(ii)

5.00 cm
(iii)

9.00 cm
(iv)

6.00 cm
(v)

8.00 cm

Question 12

12.

The surface area of a solid metallic sphere is 3633.14 sq.cm. It is melted and recasted into solid right circular cones of radius 8.50 cm and height 6.80 cm . Find the number of complete cones that can be made

(i)

45
(ii)

37
(iii)

40
(iv)

43
(v)

35

Question 13

13.

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

(i)

203.69 sq.cm
(ii)

170.69 sq.cm
(iii)

175.69 sq.cm
(iv)

182.69 sq.cm
(v)

151.69 sq.cm

Question 14

14.

If the base radius of a cone is 7.00 cm and slant height is 9.22 cm, its base area is

(i)

154.00 sq.cm
(ii)

179.00 sq.cm
(iii)

128.00 sq.cm
(iv)

172.00 sq.cm
(v)

151.00 sq.cm

Question 15

15.

If the base radius of a cone is 7.00 cm and L.S.A is 202.84 sq.cm, its vertical height is

(i)

7.00 cm
(ii)

4.00 cm
(iii)

5.00 cm
(iv)

8.00 cm
(v)

6.00 cm

Question 16

16.

If the slant height of a cone is 11.31 cm and L.S.A is 284.37 sq.cm, its T.S.A is

(i)

502.51 sq.cm
(ii)

500.51 sq.cm
(iii)

485.51 sq.cm
(iv)

483.51 sq.cm
(v)

469.51 sq.cm

Question 17

17.

A farmer connects a pipe of internal diameter
48 cm

from a canal into a cylindrical tank in his field,

which is
12 m
in diameter and
4 m
deep.

If water flows through the pipe at the rate of
25
7

kmph
,

in how much time will the tank be filled ?

(i)

45.00 min
(ii)

47.00 min
(iii)

42.00 min
(iv)

37.00 min
(v)

39.00 min

Question 18

18.

An ice cream container has the shape of a right circular cylinder having inner diameter 24.00 cm and height 34.00 cm . The ice cream is filled into cones of diameter 15.00 cm and height 11.00 cm , having a hemispherical shape on the top. Find the number of such complete cones which can be filled with ice cream

(i)

13
(ii)

5
(iii)

10
(iv)

7
(v)

15

Question 19

19.

Marbles of diameter 1.20 cm are dropped into a cylindrical beaker containing some water. When they are fully submerged, the water level rises by 7.2 cm. If the diameter of the beaker is 9.60 cm, find the number of marbles that are dropped in it

(i)

588
(ii)

568
(iii)

560
(iv)

591
(v)

576

Question 20

20.

A hemispherical depression is cut out from one face of a cylinder. The height of the cylinder is 37.00 cm and its radius is 9.00 cm. Find the total surface area of the solid

(i)

2856.86 sq.cm
(ii)

2686.86 sq.cm
(iii)

2976.86 sq.cm
(iv)

2896.86 sq.cm
(v)

2676.86 sq.cm

Question 21

21.

If the base radius of a cone is 7.00 cm and slant height is 12.21 cm, its T.S.A is

(i)

407.62 sq.cm
(ii)

410.62 sq.cm
(iii)

422.62 sq.cm
(iv)

429.62 sq.cm
(v)

448.62 sq.cm

Question 22

22.

The radii of the ends of a frustum of a right circular cone 20.00 cm high are 13.50 cm and 3.50 cm. Its total surface area is

(i)

2045.98 sq.cm
(ii)

1665.98 sq.cm
(iii)

1775.98 sq.cm
(iv)

1805.98 sq.cm
(v)

1925.98 sq.cm

Question 23

23.

A hollow sphere of internal and external diameters 22.00 cm and 24.00 cm respectively is melted into a cone of base diameter 16.00 cm. Find the height of the cone

(i)

29.81 cm
(ii)

24.81 cm
(iii)

27.81 cm
(iv)

21.81 cm
(v)

19.81 cm

Question 24

24.

A tent is in the form of a cylinder surmounted by a cone., The height of the tent above the ground is 32 m and the height of the cylindrical part is 20.00 m. If the diameter of the base is 40.00 m, find the quantity of canvas required to make the tent. Allow 15% extra for folds and for stitching.

(i)

4577.13 sq.m
(ii)

4757.13 sq.m
(iii)

4457.13 sq.m
(iv)

4617.13 sq.m
(v)

4407.13 sq.m

Question 25

25.

From a solid cylinder of height 20.00 cm and base radius 9.50 cm, a conical cavity of height 6.00 cm and base radius 9.50 cm is drilled out. Find the total surface area of the resulting solid

(i)

1683.52 sq.cm
(ii)

1833.52 sq.cm
(iii)

1813.52 sq.cm
(iv)

1653.52 sq.cm
(v)

1963.52 sq.cm

Assignment Key