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 25.00 cm and the radius of its base is 8.00 cm. It is melted and recast into a right circular cone with base radius 4.00 cm. Find the new height
  • (i)
    88.00 cm
  • (ii)
    100.00 cm
  • (iii)
    127.00 cm
  • (iv)
    77.00 cm
  • (v)
    115.00 cm
Question 2
2.
A solid metallic cylinder of base radius 3.00 cm and height 26.00 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)
    715
  • (ii)
    688
  • (iii)
    687
  • (iv)
    702
  • (v)
    720
Question 3
3.
A hollow metallic cylindrical tube has an internal radius of 10.00 cm and height 17.00 cm. The thickness of the metal is 4 cm .The tube is melted to cast into a right circular cone of height 6.00 cm. Find the radius of the cone.
  • (i)
    28.57 cm
  • (ii)
    25.57 cm
  • (iii)
    33.57 cm
  • (iv)
    23.57 cm
  • (v)
    31.57 cm
Question 4
4.
An open cylindrical vessel of internal diameter 28.00 cm and height 27.00 cm stands on a horizontal table. Inside this is placed a solid metallic right circular cone, the diameter of whose base is 14.00 cm and height 27.00 cm and filled with water. If the cone is replaced by another cone whose height is 16.20 cm and base radius is 3.50 cm, find the drop in the water level.
  • (i)
    3.91 cm
  • (ii)
    9.91 cm
  • (iii)
    1.91 cm
  • (iv)
    2.91 cm
  • (v)
    0.91 cm
Question 5
5.
The surface area of a solid metallic sphere is 3218.29 sq.cm. It is melted and recasted into solid right circular cones of radius 9.60 cm and height 8.00 cm . Find the number of complete cones that can be made
  • (i)
    25
  • (ii)
    19
  • (iii)
    27
  • (iv)
    17
  • (v)
    22
Question 6
6.
A hollow sphere of internal and external diameters 36.00 cm and 42.00 cm respectively is melted into a cone of base diameter 22.00 cm. Find the height of the cone
  • (i)
    137.36 cm
  • (ii)
    106.36 cm
  • (iii)
    99.36 cm
  • (iv)
    128.36 cm
  • (v)
    113.36 cm
Question 7
7.
A metallic sphere of radius 10.00 cm is melted to recast into the shape of a cylinder of radius 14.00 cm . Find the height of the cylinder.
  • (i)
    8.80 cm
  • (ii)
    6.80 cm
  • (iii)
    4.80 cm
  • (iv)
    5.80 cm
  • (v)
    7.80 cm
Question 8
8.
Metallic spheres of radii 15.00 cm, 10.00 cm are melted to form a single solid sphere. Find the radius of the resulting sphere.
  • (i)
    3
    √

    4377
    cm
  • (ii)
    4375
    cm
  • (iii)
    3
    √

    4375
    cm
  • (iv)
    3
    √

    4373
    cm
  • (v)
    5
    √

    4375
    cm
Question 9
9.
A cylinder with radius 6.00 cm and height 1.00 cm is melted to recast into a cone of height 6.75 cm. Find the radius of the cone.
  • (i)
    2.00 cm
  • (ii)
    5.00 cm
  • (iii)
    4.00 cm
  • (iv)
    6.00 cm
  • (v)
    3.00 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)
    215.00 m
  • (ii)
    230.00 m
  • (iii)
    255.00 m
  • (iv)
    243.00 m
  • (v)
    259.00 m
Question 11
11.
A copper rod of diameter 0.80 cm and length 10.00 cm is drawn into a wire of length 78.40 m of uniform thickness. Find the thickness of the wire.
  • (i)
    1
    70
    cm
  • (ii)
    3
    70
    cm
  • (iii)
    1
    35
    cm
  • (iv)
    0
    cm
  • (v)
    2
    35
    cm
    Assignment Key
  •  1) (ii)
  •  2) (iv)
  •  3) (i)
  •  4) (iii)
  •  5) (v)
  •  6) (v)
  •  7) (ii)
  •  8) (iii)
  •  9) (iii)
  •  10) (iv)
  •  11) (i)