EduSahara™ Worksheet

Question 1

1.

If the length, height and volume of a cuboid are 14.00 cm, 12.00 cm and 1176.00 cu.cm respectively, its T.S.A is

(i)

688.00 sq.cm
(ii)

716.00 sq.cm
(iii)

700.00 sq.cm
(iv)

685.00 sq.cm
(v)

717.00 sq.cm

Question 2

2.

If the radius of a cylinder is 14.00 cm and T.S.A is 1760.00 sq.cm, its L.S.A. is

(i)

516.00 sq.cm
(ii)

541.00 sq.cm
(iii)

528.00 sq.cm
(iv)

512.00 sq.cm
(v)

546.00 sq.cm

Question 3

3.

A cylinder with radius 9.00 cm and height 9.00 cm is melted to recast into a cone of height 243.00 cm. Find the radius of the cone.

(i)

4.00 cm
(ii)

5.00 cm
(iii)

2.00 cm
(iv)

3.00 cm
(v)

1.00 cm

Question 4

4.

If the base radius of a cone is 6.00 cm and slant height is 8.49 cm, its L.S.A. is

(i)

187.10 sq.cm
(ii)

142.10 sq.cm
(iii)

164.10 sq.cm
(iv)

143.10 sq.cm
(v)

160.10 sq.cm

Question 5

5.

If the radius of a cylinder is 16.00 cm and T.S.A is 2715.43 sq.cm, its volume is

(i)

8680.29 cu.cm
(ii)

8850.29 cu.cm
(iii)

8980.29 cu.cm
(iv)

9110.29 cu.cm
(v)

8690.29 cu.cm

Question 6

6.

If the slant height of a cone is 9.22 cm and L.S.A is 202.84 sq.cm, its T.S.A is

(i)

372.84 sq.cm
(ii)

356.84 sq.cm
(iii)

334.84 sq.cm
(iv)

338.84 sq.cm
(v)

383.84 sq.cm

Question 7

7.

A conical vessel of radius 3.00 cm and height 4.00 cm is completely filled with water. A sphere is lowered into the water and its size is such that when it touches the sides, it is just immersed. Find the fraction of the water that overflows

(i)

1
8
(ii)

5
8
(iii)

3
10
(iv)

1
2
(v)

3
8

Question 8

8.

If the length, breadth and T.S.A of a cuboid are 19.00 cm, 17.00 cm and 1510.00 sq.cm respectively, its height is

(i)

15.00 cm
(ii)

7.00 cm
(iii)

17.00 cm
(iv)

9.00 cm
(v)

12.00 cm

Question 9

9.

If the breadth, height and L.S.A of a cuboid are 17.00 cm, 16.00 cm and 1152.00 sq.cm respectively, its length is

(i)

19.00 cm
(ii)

14.00 cm
(iii)

16.00 cm
(iv)

22.00 cm
(v)

24.00 cm

Question 10

10.

Marbles of diameter 2.00 cm are dropped into a cylindrical beaker containing some water. When they are fully submerged, the water level rises by 20 cm. If the diameter of the beaker is 24.00 cm, find the number of marbles that are dropped in it

(i)

1980
(ii)

2160
(iii)

2430
(iv)

2000
(v)

2310

Question 11

11.

If the breadth, height and T.S.A of a cuboid are 12.00 cm, 7.00 cm and 814.00 sq.cm respectively, its L.S.A is

(i)

388.00 sq.cm
(ii)

389.00 sq.cm
(iii)

406.00 sq.cm
(iv)

424.00 sq.cm
(v)

422.00 sq.cm

Question 12

12.

If the base radius of a cone is 6.00 cm and vertical height is 5.00 cm, its L.S.A. is

(i)

159.27 sq.cm
(ii)

162.27 sq.cm
(iii)

143.27 sq.cm
(iv)

147.27 sq.cm
(v)

131.27 sq.cm

Question 13

13.

The radii of the ends of a frustum of a right circular cone 8.00 cm high are 7.50 cm and 2.50 cm. Its volume is

(i)

704.95 cu.cm
(ii)

684.95 cu.cm
(iii)

667.95 cu.cm
(iv)

680.95 cu.cm
(v)

665.95 cu.cm

Question 14

14.

If the vertical height of a cone is 5.00 cm and volume is 130.95 cu.cm, its slant height is

(i)

7.07 cm
(ii)

6.07 cm
(iii)

5.07 cm
(iv)

8.07 cm
(v)

9.07 cm

Question 15

15.

If the length, height and T.S.A of a cuboid are 18.00 cm, 10.00 cm and 808.00 sq.cm respectively, its volume is

(i)

1420.00 cu.cm
(ii)

1180.00 cu.cm
(iii)

1620.00 cu.cm
(iv)

1440.00 cu.cm
(v)

1510.00 cu.cm

Question 16

16.

If the base radius of a cone is 7.00 cm and L.S.A is 217.80 sq.cm, its base area is

(i)

138.00 sq.cm
(ii)

154.00 sq.cm
(iii)

166.00 sq.cm
(iv)

136.00 sq.cm
(v)

181.00 sq.cm

Question 17

17.

If the height of a cylinder is 17.00 cm and volume is 7693.71 cu.cm, its radius is

(i)

12.00 cm
(ii)

15.00 cm
(iii)

17.00 cm
(iv)

7.00 cm
(v)

9.00 cm

Question 18

18.

If the volume of a sphere is 1437.33 cu.cm, its L.S.A is

(i)

616.00 sq.cm
(ii)

609.00 sq.cm
(iii)

629.00 sq.cm
(iv)

604.00 sq.cm
(v)

624.00 sq.cm

Question 19

19.

An ice cream container has the shape of a right circular cylinder having inner diameter 30.00 cm and height 32.00 cm . The ice cream is filled into cones of diameter 19.00 cm and height 18.00 cm , having a hemispherical shape on the top. Find the number of such complete cones which can be filled with ice cream

(i)

5
(ii)

7
(iii)

6
(iv)

4
(v)

8

Question 20

20.

If the length, breadth and volume of a cuboid are 16.00 cm, 9.00 cm and 1440.00 cu.cm respectively, its L.S.A is

(i)

500.00 sq.cm
(ii)

507.00 sq.cm
(iii)

526.00 sq.cm
(iv)

483.00 sq.cm
(v)

476.00 sq.cm

Question 21

21.

If the length, height and L.S.A of a cuboid are 19.00 cm, 14.00 cm and 952.00 sq.cm respectively, its volume is

(i)

4040.00 cu.cm
(ii)

3990.00 cu.cm
(iii)

3870.00 cu.cm
(iv)

3710.00 cu.cm
(v)

4120.00 cu.cm

Question 22

22.

If the height of a cylinder is 10.00 cm and volume is 3802.86 cu.cm, its L.S.A. is

(i)

706.43 sq.cm
(ii)

677.43 sq.cm
(iii)

688.43 sq.cm
(iv)

699.43 sq.cm
(v)

691.43 sq.cm

Question 23

23.

If the base radius of a cone is 7.00 cm and T.S.A is 343.20 sq.cm, its L.S.A. is

(i)

163.20 sq.cm
(ii)

172.20 sq.cm
(iii)

195.20 sq.cm
(iv)

217.20 sq.cm
(v)

189.20 sq.cm

Question 24

24.

If the base radius of a cone is 8.00 cm and vertical height is 7.00 cm, its slant height is

(i)

15.63 cm
(ii)

7.63 cm
(iii)

13.63 cm
(iv)

10.63 cm
(v)

5.63 cm

Question 25

25.

If the base radius of a cone is 9.00 cm and volume is 678.86 cu.cm, its base area is

(i)

261.57 sq.cm
(ii)

254.57 sq.cm
(iii)

268.57 sq.cm
(iv)

242.57 sq.cm

Assignment Key