The slant height of a bucket is 26 cm. The diameter of upper and lower circular ends are 36 cm and 16 cm. then height of bucket is:
  • 22 cm
  • 24 cm
  • 10 cm
  • 25 cm
The volume (in cm³) of the largest right circular cone that can be cut off from a cube of edge 4.2 cm is:
  • 9.7
  • 77.6
  • 58.2
  • 19.4
By melting a solid sphere of radius 5 cm a solid right circular cone of the same circular base radius is made. The height of cone is:
  • 20 cm
  • 10 cm
  • 5 cm
  • 12 cm
A cylinder and a cone area of same base radius and of same height. The ratio of the volume of cylinder to that of cone is:
  • 3 : 1
  • 1 : 3
  • 2 : 3
  • 1 : 1
Eight solid sphere of same size are made by melting a solid metallic cylinder of base diameter 6 cm and height 32 cm. The diameter of each sphere is:
  • 3 cm
  • 6 cm
  • 12 cm
  • 8 cm
The number of conical bottles of radius 2 cm and height 3.6 cm, required to empty the liquid from a cylindrical bottle of radius 6 cm and height 10 cm is:
  • 100
  • 9
  • 75
  • 20
The slant height of the frustum of a cone is  4cm and the perimeter of the circular ends are 18 cm and 6 cm , the curved surface area of the frustum  is
  • 48 cm2
  • 40cm2
  • 44 cm2
  • 36 cm2
A ‘surahi’ is the combination of
  • a sphere and a cylinder
  • a hemisphere and a cylinder
  • a cylinder and a cone.
  • two hemispheres
The volume of the Sphere  whose diameter is 14 cm is
  • 2417.3 cm3
  • 2437.3 cm3
  • 1437.3 cm3
  • 1037.3 cm3
If two solid hemispheres of same base radius r are joined together along their bases, then curved surface area of this new solid is
  • $6 \pi r^2$
  • $ \pi r^2$
  • $3 \pi r^2$
  • $4 \pi r^2$
A hemispherical bowl of internal radius 18 cm contains Coca Cola.  This is to be filled in the cylinder bottle of radius 3 cm and height 6 cm and distributed to the people. How many bottles can be filled up
  • 60
  • None of the above
  • 64
  • 72
Which of the following is incorrect  for Frustum of height h and radii r and R
  • Curved surface area of the frustum of the cone = $\pi (r +R )L$
  • Total Surface Area= $\pi (r +R )L + \pi (R^2 - r^2)$
  • Slant height = $\sqrt {h^2 + (R-r)^2}
  • Volume of the frustum of the cone = $ \frac {1}{3} \pi h [ r^2 + R^2 + rR]$
A cone of height of 12 cm has a base radius of 5 cm, the lateral surface are in sq cm is
  • $45 \pi$
  • $15 \pi$
  • $65 \pi $
  • $24 \pi $
Volumes of two spheres are in the ratio 64:The ratio of their surface areas is
  • 3 : 4
  • 9 : 16
  • 16 : 9
  • 4 : 3
A cone, a hemisphere and a cylinder stand on equal based and have the same height. The volume of these are in the ratio
  • 4 : 8 : 11
  • 5 : 6 : 8
  • 2 :3 : 4
  • 1 : 2 :3
0 h : 0 m : 1 s

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