EduSahara™ Assignment
Name : Conversion of Solid from One Shape to Another
Chapter : Surface Areas and Volumes
Grade : CBSE Grade X
License : Non Commercial Use
Question 1
1.
The height of a right circular cone is 8.00 cm and the radius of its base is 14.50 cm. It is melted and recast into a right circular cone with base radius 7.25 cm. Find the new height
  • (i)
    27.00 cm
  • (ii)
    37.00 cm
  • (iii)
    29.00 cm
  • (iv)
    32.00 cm
  • (v)
    35.00 cm
Question 2
2.
A solid metallic cylinder of base radius 6.50 cm and height 30.00 cm is melted to form cones each of height 1.00 cm and radius 1.00 cm . Find the number of complete cones formed
  • (i)
    3802
  • (ii)
    3922
  • (iii)
    3642
  • (iv)
    3752
Question 3
3.
A hollow metallic cylindrical tube has an internal radius of 13.00 cm and height 27.00 cm. The thickness of the metal is 2 cm .The tube is melted to cast into a right circular cone of height 10.00 cm. Find the radius of the cone.
  • (i)
    24.30 cm
  • (ii)
    21.30 cm
  • (iii)
    18.30 cm
  • (iv)
    26.30 cm
  • (v)
    16.30 cm
Question 4
4.
An open cylindrical vessel of internal diameter 12.00 cm and height 12.00 cm stands on a horizontal table. Inside this is placed a solid metallic right circular cone, the diameter of whose base is 6.00 cm and height 12.00 cm and filled with water. If the cone is replaced by another cone whose height is 6.00 cm and base radius is 0.90 cm, find the drop in the water level.
  • (i)
    1.95 cm
  • (ii)
    8.95 cm
  • (iii)
    0.95 cm
  • (iv)
    2.95 cm
  • (v)
    7.95 cm
Question 5
5.
The surface area of a solid metallic sphere is 1810.29 sq.cm. It is melted and recasted into solid right circular cones of radius 7.20 cm and height 4.80 cm . Find the number of complete cones that can be made
  • (i)
    24
  • (ii)
    22
  • (iii)
    30
  • (iv)
    32
  • (v)
    27
Question 6
6.
A hollow sphere of internal and external diameters 12.00 cm and 20.00 cm respectively is melted into a cone of base diameter 4.00 cm. Find the height of the cone
  • (i)
    776.00 cm
  • (ii)
    756.00 cm
  • (iii)
    800.00 cm
  • (iv)
    801.00 cm
  • (v)
    784.00 cm
Question 7
7.
A metallic sphere of radius 17.00 cm is melted to recast into the shape of a cylinder of radius 18.00 cm . Find the height of the cylinder.
  • (i)
    20.22 cm
  • (ii)
    15.22 cm
  • (iii)
    23.22 cm
  • (iv)
    17.22 cm
  • (v)
    25.22 cm
Question 8
8.
Metallic spheres of radii 4.00 cm, 5.00 cm are melted to form a single solid sphere. Find the radius of the resulting sphere.
  • (i)
    3
    √

    186
    cm
  • (ii)
    3
    √

    192
    cm
  • (iii)
    5
    √

    189
    cm
  • (iv)
    3
    √

    189
    cm
  • (v)
    189
    cm
Question 9
9.
A cylinder with radius 9.00 cm and height 8.00 cm is melted to recast into a cone of height 24.00 cm. Find the radius of the cone.
  • (i)
    10.00 cm
  • (ii)
    11.00 cm
  • (iii)
    7.00 cm
  • (iv)
    9.00 cm
  • (v)
    8.00 cm
Question 10
10.
A copper sphere having a radius of 9.00 cm is melted and drawn into a cylindrical wire of radius 0.20 cm. Calculate the length of the wire.
  • (i)
    243.00 m
  • (ii)
    219.00 m
  • (iii)
    256.00 m
  • (iv)
    227.00 m
  • (v)
    270.00 m
Question 11
11.
A copper rod of diameter 0.20 cm and length 2.00 cm is drawn into a wire of length 0.72 m of uniform thickness. Find the thickness of the wire.
  • (i)
    1
    30
    cm
  • (ii)
    1
    15
    cm
  • (iii)
    0
    cm
  • (iv)
    1
    20
    cm
  • (v)
    1
    60
    cm
    Assignment Key
  •  1) (iv)
  •  2) (i)
  •  3) (ii)
  •  4) (iii)
  •  5) (v)
  •  6) (v)
  •  7) (i)
  •  8) (iv)
  •  9) (iv)
  •  10) (i)
  •  11) (v)