EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Cone and Sphere
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
If the slant height of a cone is 8.60 cm and vertical height is 7.00 cm, its base area is
(i)
83.57 sq.cm
(ii)
75.57 sq.cm
(iii)
73.57 sq.cm
(iv)
81.57 sq.cm
(v)
78.57 sq.cm
Question
2
2.
If the L.S.A of a sphere is 1257.14 sq.cm, its volume is
(i)
4420.48 cu.cm
(ii)
4040.48 cu.cm
(iii)
4190.48 cu.cm
(iv)
4050.48 cu.cm
(v)
4360.48 cu.cm
Question
3
3.
If the volume of a sphere is 905.14 cu.cm, its T.S.A is
(i)
438.57 sq.cm
(ii)
452.57 sq.cm
(iii)
434.57 sq.cm
(iv)
475.57 sq.cm
(v)
467.57 sq.cm
Question
4
4.
If the L.S.A of a sphere is 2828.57 sq.cm, its T.S.A is
(i)
2978.57 sq.cm
(ii)
2658.57 sq.cm
(iii)
2608.57 sq.cm
(iv)
2968.57 sq.cm
(v)
2828.57 sq.cm
Question
5
5.
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 9.6 cm. If the diameter of the beaker is 21.60 cm, find the number of marbles that are dropped in it
(i)
3708
(ii)
4048
(iii)
4058
(iv)
3888
(v)
3738
Question
6
6.
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 10.00 cm and 27.00 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 13.00 cm
(i)
10342.86 cu.cm
(ii)
11942.86 cu.cm
(iii)
13142.86 cu.cm
(iv)
10242.86 cu.cm
(v)
12442.86 cu.cm
Question
7
7.
If the base radius of a cone is 9.00 cm and vertical height is 5.00 cm, its volume is
(i)
449.29 cu.cm
(ii)
421.29 cu.cm
(iii)
431.29 cu.cm
(iv)
402.29 cu.cm
(v)
424.29 cu.cm
Question
8
8.
If the base radius of a cone is 6.00 cm and T.S.A is 273.24 sq.cm, its L.S.A. is
(i)
145.10 sq.cm
(ii)
174.10 sq.cm
(iii)
134.10 sq.cm
(iv)
178.10 sq.cm
(v)
160.10 sq.cm
Question
9
9.
If the slant height of a cone is 7.81 cm and vertical height is 5.00 cm, its T.S.A is
(i)
288.42 sq.cm
(ii)
260.42 sq.cm
(iii)
254.42 sq.cm
(iv)
277.42 sq.cm
(v)
237.42 sq.cm
Question
10
10.
A well of diameter 13.00 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 9m to form an embankment. Find the height of the embankment.
(i)
1.63 m
(ii)
5.63 m
(iii)
2.63 m
(iv)
4.63 m
(v)
3.63 m
Question
11
11.
If the base radius of a cone is 6.00 cm and T.S.A is 287.01 sq.cm, its vertical height is
(i)
5.00 cm
(ii)
6.00 cm
(iii)
7.00 cm
(iv)
9.00 cm
(v)
8.00 cm
Question
12
12.
From a circular cylinder of diameter 17.00 cm and height 20.00 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)
1876.14 sq.cm
(ii)
1716.14 sq.cm
(iii)
1656.14 sq.cm
(iv)
1946.14 sq.cm
(v)
1996.14 sq.cm
Question
13
13.
A hollow metallic cylindrical tube has an internal radius of 13.00 cm and height 10.00 cm. The thickness of the metal is 4.5 cm .The tube is melted to cast into a right circular cone of height 5.00 cm. Find the radius of the cone.
(i)
25.70 cm
(ii)
23.70 cm
(iii)
31.70 cm
(iv)
28.70 cm
(v)
33.70 cm
Question
14
14.
The radii of the ends of a frustum of a right circular cone 11.00 cm high are 6.50 cm and 2.50 cm. Its volume is
(i)
746.17 cu.cm
(ii)
758.17 cu.cm
(iii)
719.17 cu.cm
(iv)
733.17 cu.cm
(v)
761.17 cu.cm
Question
15
15.
If the volume of a sphere is 5577.52 cu.cm, its L.S.A is
(i)
1661.14 sq.cm
(ii)
1391.14 sq.cm
(iii)
1521.14 sq.cm
(iv)
1461.14 sq.cm
(v)
1571.14 sq.cm
Question
16
16.
If the T.S.A of a sphere is 1521.14 sq.cm, its volume is
(i)
5857.52 cu.cm
(ii)
5427.52 cu.cm
(iii)
5577.52 cu.cm
(iv)
5747.52 cu.cm
(v)
5437.52 cu.cm
Question
17
17.
The radii of the ends of a frustum of a right circular cone 16.00 cm high are 10.00 cm and 6.50 cm. Its total surface area is
(i)
1216.41 sq.cm
(ii)
1156.41 sq.cm
(iii)
1536.41 sq.cm
(iv)
1296.41 sq.cm
(v)
1446.41 sq.cm
Question
18
18.
The surface area of a solid metallic sphere is 1521.14 sq.cm. It is melted and recasted into solid right circular cones of radius 7.70 cm and height 3.30 cm . Find the number of complete cones that can be made
(i)
22
(ii)
27
(iii)
30
(iv)
24
(v)
32
Question
19
19.
If the T.S.A of a sphere is 314.29 sq.cm, its L.S.A is
(i)
292.29 sq.cm
(ii)
318.29 sq.cm
(iii)
342.29 sq.cm
(iv)
308.29 sq.cm
(v)
314.29 sq.cm
Question
20
20.
The height of a right circular cone is 8.00 cm and the radius of its base is 13.00 cm. It is melted and recast into a right circular cone with base radius 9.10 cm. Find the new height
(i)
19.33 cm
(ii)
11.33 cm
(iii)
16.33 cm
(iv)
21.33 cm
(v)
13.33 cm
Question
21
21.
A well of diameter 19.00 m is dug to a depth of 16.00 m and the soil from digging is evenly spread out to form a platform of base dimensions 20.00 m✕25.00 m . Find the height of the platform
(i)
10.08 m
(ii)
9.08 m
(iii)
8.08 m
(iv)
7.08 m
(v)
11.08 m
Question
22
22.
A solid consists of a cylinder with one hemispherical end with length 34.00 cm and diameter 14.00 cm. Find the total surface area of the solid
(i)
1828.00 sq.cm
(ii)
1718.00 sq.cm
(iii)
1958.00 sq.cm
(iv)
2088.00 sq.cm
(v)
2078.00 sq.cm
Question
23
23.
If the base radius of a cone is 7.00 cm and slant height is 9.22 cm, its volume is
(i)
308.00 cu.cm
(ii)
305.00 cu.cm
(iii)
322.00 cu.cm
(iv)
293.00 cu.cm
(v)
326.00 cu.cm
Question
24
24.
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 21.50 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 11.00 cm
(i)
1920.88 sq.cm
(ii)
1760.88 sq.cm
(iii)
1450.88 sq.cm
(iv)
1680.88 sq.cm
(v)
1530.88 sq.cm
Question
25
25.
If the base radius of a cone is 5.00 cm and slant height is 11.18 cm, its L.S.A. is
(i)
188.69 sq.cm
(ii)
168.69 sq.cm
(iii)
161.69 sq.cm
(iv)
177.69 sq.cm
(v)
175.69 sq.cm
Assignment Key
1) (v)
2) (iii)
3) (ii)
4) (v)
5) (iv)
6) (ii)
7) (v)
8) (v)
9) (ii)
10) (v)
11) (iii)
12) (i)
13) (iv)
14) (i)
15) (iii)
16) (iii)
17) (iv)
18) (ii)
19) (v)
20) (iii)
21) (ii)
22) (iii)
23) (i)
24) (iv)
25) (v)