EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Surface Areas and Volumes
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
If the radius of a cylinder is 9.00 cm and L.S.A is 396.00 sq.cm, its height is
(i)
7.00 cm
(ii)
9.00 cm
(iii)
6.00 cm
(iv)
8.00 cm
(v)
5.00 cm
Question
2
2.
If the breadth, height and T.S.A of a cuboid are 17.00 cm, 15.00 cm and 1726.00 sq.cm respectively, its volume is
(i)
5025.00 cu.cm
(ii)
4995.00 cu.cm
(iii)
4625.00 cu.cm
(iv)
4845.00 cu.cm
(v)
4805.00 cu.cm
Question
3
3.
If the base radius of a cone is 10.00 cm and slant height is 14.14 cm, its volume is
(i)
917.62 cu.cm
(ii)
1207.62 cu.cm
(iii)
1047.62 cu.cm
(iv)
1327.62 cu.cm
(v)
797.62 cu.cm
Question
4
4.
If the volume of a cube is 6859.00 cu.cm, its T.S.A is
(i)
2086.00 sq.cm
(ii)
1916.00 sq.cm
(iii)
2166.00 sq.cm
(iv)
2236.00 sq.cm
(v)
2426.00 sq.cm
Question
5
5.
If the T.S.A of a sphere is 2828.57 sq.cm, its radius is
(i)
20.00 cm
(ii)
18.00 cm
(iii)
12.00 cm
(iv)
15.00 cm
(v)
10.00 cm
Question
6
6.
A cone of maximum volume is carved out of a cuboid of dimensions 6.00 cm✕6.00 cm✕15.00 cm. Find the volume of the cone
(i)
129.43 cu.cm
(ii)
134.43 cu.cm
(iii)
163.43 cu.cm
(iv)
156.43 cu.cm
(v)
141.43 cu.cm
Question
7
7.
If the slant height of a cone is 10.30 cm and T.S.A is 240.43 sq.cm, its L.S.A. is
(i)
176.86 sq.cm
(ii)
149.86 sq.cm
(iii)
161.86 sq.cm
(iv)
147.86 sq.cm
(v)
184.86 sq.cm
Question
8
8.
From a solid cylinder of height 10.00 cm and base radius 5.00 cm, a conical cavity of height 7.00 cm and base radius 5.00 cm is drilled out. Find the total surface area of the resulting solid
(i)
528.00 sq.cm
(ii)
534.00 sq.cm
(iii)
505.00 sq.cm
(iv)
516.00 sq.cm
(v)
556.00 sq.cm
Question
9
9.
If the base radius of a cone is 9.00 cm and T.S.A is 577.03 sq.cm, its volume is
(i)
581.00 cu.cm
(ii)
602.00 cu.cm
(iii)
578.00 cu.cm
(iv)
609.00 cu.cm
(v)
594.00 cu.cm
Question
10
10.
A wooden toy rocket is in the shape of a cone mounted on a cylinder. The height of the conical part is 11.00 cm , while the height of the cylindrical part is 22.00 cm. The base of the conical portion has a diameter of 10.00 cm while the base diameter of the cylindrical portion is 6.00 cm. If the conical portion is painted with yellow and cylindrical portion with white, find the area of the rocket painted with each of these colors
(i)
yellow
area =
242.11 sq.cm
,
white
area =
445.14 sq.cm
(ii)
yellow
area =
240.11 sq.cm
,
white
area =
443.14 sq.cm
(iii)
yellow
area =
239.11 sq.cm
,
white
area =
442.14 sq.cm
(iv)
yellow
area =
241.11 sq.cm
,
white
area =
444.14 sq.cm
(v)
yellow
area =
238.11 sq.cm
,
white
area =
441.14 sq.cm
Question
11
11.
If the vertical height of a cone is 5.00 cm and volume is 424.29 cu.cm, its base area is
(i)
257.57 sq.cm
(ii)
254.57 sq.cm
(iii)
268.57 sq.cm
(iv)
242.57 sq.cm
Question
12
12.
If the base radius of a cone is 7.00 cm and volume is 308.00 cu.cm, its slant height is
(i)
9.22 cm
(ii)
8.22 cm
(iii)
7.22 cm
(iv)
11.22 cm
(v)
10.22 cm
Question
13
13.
If the base radius of a cone is 8.00 cm and vertical height is 7.00 cm, its base area is
(i)
186.14 sq.cm
(ii)
219.14 sq.cm
(iii)
177.14 sq.cm
(iv)
201.14 sq.cm
(v)
208.14 sq.cm
Question
14
14.
If the L.S.A of a sphere is 314.29 sq.cm, its radius is
(i)
7.00 cm
(ii)
3.00 cm
(iii)
6.00 cm
(iv)
4.00 cm
(v)
5.00 cm
Question
15
15.
If the slant height of a cone is 10.00 cm and L.S.A is 188.57 sq.cm, its base area is
(i)
113.14 sq.cm
(ii)
127.14 sq.cm
(iii)
96.14 sq.cm
(iv)
126.14 sq.cm
(v)
105.14 sq.cm
Question
16
16.
If the radius of a cylinder is 10.00 cm and L.S.A is 880.00 sq.cm, its T.S.A is
(i)
1508.57 sq.cm
(ii)
1268.57 sq.cm
(iii)
1728.57 sq.cm
(iv)
1658.57 sq.cm
(v)
1488.57 sq.cm
Question
17
17.
If the T.S.A of a cube is 1350.00 sq.cm, its L.S.A is
(i)
883.00 sq.cm
(ii)
906.00 sq.cm
(iii)
898.00 sq.cm
(iv)
900.00 sq.cm
(v)
913.00 sq.cm
Question
18
18.
The radii of the ends of a frustum of a right circular cone 7.00 cm high are 7.50 cm and 2.50 cm. Its slant height is
(i)
8.60 cm
(ii)
9.60 cm
(iii)
10.60 cm
(iv)
7.60 cm
(v)
6.60 cm
Question
19
19.
If the height of a cylinder is 7.00 cm and base area is 254.57 sq.cm, its L.S.A. is
(i)
372.00 sq.cm
(ii)
413.00 sq.cm
(iii)
388.00 sq.cm
(iv)
396.00 sq.cm
(v)
410.00 sq.cm
Question
20
20.
If the radius of a cylinder is 6.00 cm and volume is 1470.86 cu.cm, its L.S.A. is
(i)
508.29 sq.cm
(ii)
485.29 sq.cm
(iii)
516.29 sq.cm
(iv)
474.29 sq.cm
(v)
490.29 sq.cm
Question
21
21.
If the volume of a cube is 1728.00 cu.cm, its side is
(i)
12.00 cm
(ii)
17.00 cm
(iii)
7.00 cm
(iv)
9.00 cm
(v)
15.00 cm
Question
22
22.
If the base radius of a cone is 5.00 cm and volume is 261.90 cu.cm, its L.S.A. is
(i)
157.69 sq.cm
(ii)
181.69 sq.cm
(iii)
192.69 sq.cm
(iv)
175.69 sq.cm
(v)
171.69 sq.cm
Question
23
23.
If the breadth, height and T.S.A of a cuboid are 7.00 cm, 17.00 cm and 766.00 sq.cm respectively, its L.S.A is
(i)
612.00 sq.cm
(ii)
629.00 sq.cm
(iii)
608.00 sq.cm
(iv)
634.00 sq.cm
(v)
588.00 sq.cm
Question
24
24.
If the T.S.A of a sphere is 616.00 sq.cm, its volume is
(i)
1157.33 cu.cm
(ii)
1357.33 cu.cm
(iii)
1487.33 cu.cm
(iv)
1597.33 cu.cm
(v)
1437.33 cu.cm
Question
25
25.
If the volume of a sphere is 7241.14 cu.cm, its T.S.A is
(i)
1650.29 sq.cm
(ii)
1810.29 sq.cm
(iii)
1960.29 sq.cm
(iv)
1590.29 sq.cm
(v)
1840.29 sq.cm
Assignment Key
1) (i)
2) (iv)
3) (iii)
4) (iii)
5) (iv)
6) (v)
7) (iii)
8) (i)
9) (v)
10) (ii)
11) (ii)
12) (i)
13) (iv)
14) (v)
15) (i)
16) (i)
17) (iv)
18) (i)
19) (iv)
20) (v)
21) (i)
22) (iv)
23) (i)
24) (v)
25) (ii)
