EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Cone and Sphere
Grade : ICSE Grade X
License : Non Commercial Use
Question 1
1.
A solid consists of a cylinder with two hemispherical ends with length 25.00 cm and diameter 15.00 cm. Find the total surface area of the solid
  • (i)
    1835.71 sq.cm
  • (ii)
    1885.71 sq.cm
  • (iii)
    1645.71 sq.cm
  • (iv)
    2145.71 sq.cm
  • (v)
    2005.71 sq.cm
Question 2
2.
If the base radius of a cone is 8.00 cm and volume is 402.29 cu.cm, its T.S.A is
  • (i)
    469.57 sq.cm
  • (ii)
    438.57 sq.cm
  • (iii)
    452.57 sq.cm
  • (iv)
    426.57 sq.cm
Question 3
3.
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 30.00 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 17.00 cm
  • (i)
    10904.76 cu.cm
  • (ii)
    14804.76 cu.cm
  • (iii)
    15104.76 cu.cm
  • (iv)
    11604.76 cu.cm
  • (v)
    13304.76 cu.cm
Question 4
4.
If the base radius of a cone is 7.00 cm and vertical height is 8.00 cm, its T.S.A is
  • (i)
    379.86 sq.cm
  • (ii)
    413.86 sq.cm
  • (iii)
    400.86 sq.cm
  • (iv)
    371.86 sq.cm
  • (v)
    387.86 sq.cm
Question 5
5.
If the base radius of a cone is 6.00 cm and volume is 264.00 cu.cm, its slant height is
  • (i)
    7.22 cm
  • (ii)
    10.22 cm
  • (iii)
    11.22 cm
  • (iv)
    9.22 cm
  • (v)
    8.22 cm
Question 6
6.
A cylindrical vessel of base radius 14.00 cm contains water . A solid sphere of radius 7.00 cm is immersed completely in the water. Find the rise in the water level in the vessel
  • (i)
    3.33 cm
  • (ii)
    2.33 cm
  • (iii)
    0.33 cm
  • (iv)
    1.33 cm
  • (v)
    4.33 cm
Question 7
7.
From a circular cylinder of diameter 13.00 cm and height 10.00 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)
    760.07 sq.cm
  • (ii)
    811.07 sq.cm
  • (iii)
    797.07 sq.cm
  • (iv)
    785.07 sq.cm
  • (v)
    778.07 sq.cm
Question 8
8.
If the slant height of a cone is 8.60 cm and L.S.A is 135.14 sq.cm, its volume is
  • (i)
    160.33 cu.cm
  • (ii)
    199.33 cu.cm
  • (iii)
    195.33 cu.cm
  • (iv)
    168.33 cu.cm
  • (v)
    183.33 cu.cm
Question 9
9.
If the base radius of a cone is 5.00 cm and L.S.A is 111.10 sq.cm, its slant height is
  • (i)
    8.07 cm
  • (ii)
    5.07 cm
  • (iii)
    7.07 cm
  • (iv)
    6.07 cm
  • (v)
    9.07 cm
Question 10
10.
An ice cream container has the shape of a right circular cylinder having inner diameter 28.00 cm and height 33.00 cm . The ice cream is filled into cones of diameter 15.00 cm and height 17.00 cm , having a hemispherical shape on the top. Find the number of such complete cones which can be filled with ice cream
  • (i)
    15
  • (ii)
    7
  • (iii)
    13
  • (iv)
    5
  • (v)
    10
Question 11
11.
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 8.00 cm and height is 20.00 cm. The radius of the hemisphere is 5.00 cm and the height of the cone is 13.00 cm. Find the volume of water left in the cylinder.
  • (i)
    3180.48 cu.cm
  • (ii)
    3420.48 cu.cm
  • (iii)
    3600.48 cu.cm
  • (iv)
    3260.48 cu.cm
  • (v)
    3440.48 cu.cm
Question 12
12.
If the base radius of a cone is 10.00 cm and vertical height is 9.00 cm, its volume is
  • (i)
    916.86 cu.cm
  • (ii)
    935.86 cu.cm
  • (iii)
    942.86 cu.cm
  • (iv)
    960.86 cu.cm
  • (v)
    959.86 cu.cm
Question 13
13.
If the radius of a sphere is 14.00 cm, its T.S.A is
  • (i)
    2484.00 sq.cm
  • (ii)
    2404.00 sq.cm
  • (iii)
    2464.00 sq.cm
  • (iv)
    2724.00 sq.cm
  • (v)
    2194.00 sq.cm
Question 14
14.
From a solid cylinder of height 17.00 cm and base radius 10.00 cm, a conical cavity of height 10.00 cm and base radius 10.00 cm is drilled out. Find the volume of the resulting solid
  • (i)
    4515.24 cu.cm
  • (ii)
    4365.24 cu.cm
  • (iii)
    4025.24 cu.cm
  • (iv)
    4295.24 cu.cm
  • (v)
    4255.24 cu.cm
Question 15
15.
A hollow metallic cylindrical tube has an internal radius of 9.00 cm and height 19.00 cm. The thickness of the metal is 3 cm .The tube is melted to cast into a right circular cone of height 13.00 cm. Find the radius of the cone.
  • (i)
    21.62 cm
  • (ii)
    13.62 cm
  • (iii)
    19.62 cm
  • (iv)
    16.62 cm
  • (v)
    11.62 cm
Question 16
16.
If the T.S.A of a sphere is 2464.00 sq.cm, its radius is
  • (i)
    14.00 cm
  • (ii)
    9.00 cm
  • (iii)
    19.00 cm
  • (iv)
    17.00 cm
  • (v)
    11.00 cm
Question 17
17.
From a circular cylinder of diameter 20.00 cm and height 10.00 cm, a conical cavity of the same base radius and of the same height is hollowed out. Find the volume of the remaining solid.
  • (i)
    1975.24 cu.cm
  • (ii)
    1935.24 cu.cm
  • (iii)
    2315.24 cu.cm
  • (iv)
    2165.24 cu.cm
  • (v)
    2095.24 cu.cm
Question 18
18.
If the volume of a sphere is 1437.33 cu.cm, its L.S.A is
  • (i)
    619.00 sq.cm
  • (ii)
    610.00 sq.cm
  • (iii)
    591.00 sq.cm
  • (iv)
    616.00 sq.cm
  • (v)
    639.00 sq.cm
Question 19
19.
If the radius of a sphere is 15.00 cm, its L.S.A is
  • (i)
    2828.57 sq.cm
  • (ii)
    2668.57 sq.cm
  • (iii)
    3108.57 sq.cm
  • (iv)
    2678.57 sq.cm
  • (v)
    2888.57 sq.cm
Question 20
20.
If the base radius of a cone is 8.00 cm and volume is 670.48 cu.cm, its vertical height is
  • (i)
    7.00 cm
  • (ii)
    5.00 cm
  • (iii)
    15.00 cm
  • (iv)
    13.00 cm
  • (v)
    10.00 cm
Question 21
21.
If the base radius of a cone is 10.00 cm and slant height is 12.21 cm, its vertical height is
  • (i)
    8.00 cm
  • (ii)
    6.00 cm
  • (iii)
    9.00 cm
  • (iv)
    7.00 cm
  • (v)
    5.00 cm
Question 22
22.
If the slant height of a cone is 11.66 cm and T.S.A is 333.02 sq.cm, its volume is
  • (i)
    365.14 cu.cm
  • (ii)
    377.14 cu.cm
  • (iii)
    384.14 cu.cm
  • (iv)
    392.14 cu.cm
  • (v)
    373.14 cu.cm
Question 23
23.
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 25.50 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 14.00 cm
  • (i)
    2010.03 sq.cm
  • (ii)
    1880.03 sq.cm
  • (iii)
    1930.03 sq.cm
  • (iv)
    2210.03 sq.cm
  • (v)
    1800.03 sq.cm
Question 24
24.
If the base radius of a cone is 9.00 cm and vertical height is 9.00 cm, its slant height is
  • (i)
    7.73 cm
  • (ii)
    15.73 cm
  • (iii)
    12.73 cm
  • (iv)
    17.73 cm
  • (v)
    9.73 cm
Question 25
25.
A well of diameter 16.00 m is dug to a depth of 18.00 m . The soil taken out of it has been spread evenly all around it in the shape of a circular ring of width 14m to form an embankment. Find the height of the embankment.
  • (i)
    3.74 m
  • (ii)
    2.74 m
  • (iii)
    4.74 m
  • (iv)
    0.74 m
  • (v)
    1.74 m
    Assignment Key

  •  1) (ii)
  •  2) (iii)
  •  3) (v)
  •  4) (v)
  •  5) (iv)
  •  6) (ii)
  •  7) (iv)
  •  8) (v)
  •  9) (iii)
  •  10) (v)
  •  11) (ii)
  •  12) (iii)
  •  13) (iii)
  •  14) (iv)
  •  15) (iv)
  •  16) (i)
  •  17) (v)
  •  18) (iv)
  •  19) (i)
  •  20) (v)
  •  21) (iv)
  •  22) (ii)
  •  23) (iii)
  •  24) (iii)
  •  25) (ii)