Taking π = \(\frac{22}{7}\), if surface area of a sphere is 616 cm², then its diameter is:
  • 7 cm
  • 14 cm
  • 56 cm
  • 28 cm
If the surface areas of two spheres are in ratio 16 : 9, then their volumes will be in the ratio:
  • 27 : 64
  • 64 : 27
  • 4 : 3
  • 3 : 4
A cylinder, a cone and a hemisphere are of equal base and have the same height. What is the ratio of their volumes?
  • 3 : 1 : 2
  • 3 : 2 : 1
  • 1 : 2 : 3
  • 1 : 3 : 2
If the area of three adjacent faces of cuboid are X, Y and Z respectively, then the volume of cuboid is:
  • XYZ
  • 3XYZ
  • \(\sqrt{xyz}\)
  • \(\sqrt{3xyz}\)
The volumes of two spheres are in the ratio 27 :The ratio of their curved surface is:
  • 9 : 4
  • 4 : 9
  • 3 : 2
  • 2 : 3
The ratio of the volumes of two spheres is 8 :If r and R are the radii of spheres respectively, then (R - r): r is:
  • 1 : 2
  • 1 : 3
  • 2 : 3
  • 4 : 9
The radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 :The ratio of their volumes is:
  • 27 : 20
  • 20 : 27
  • 9 : 4
  • 4 : 9
If the radius of base of a right circular cylinder is halved, keeping the height same, the ratio of the volume of the reduced cylinder to that of the original cylinder is:
  • 2 : 3
  • 3 : 4
  • 1 : 4
  • 4 : 1
If the volumes of a cube is 1728 cm³, the length of its edge is equal to:
  • 7 cm
  • 12 cm
  • 18 cm
  • 19 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
  • 72.6
  • 58.2
  • 19.4
The circumference of the edge of hemispherical bowl is 132 cm. When π is taken as \(\frac{22}{7}\), the capacity of bowl in cm³ is:
  • 2772
  • 924
  • 19404
  • 9702
The surface areas of two spheres are in the ratio 1 :The ratio of their volume is:
  • √2 : 1
  • 1 : 2√2
  • 1 : 8
  • 1 : 4
The radius of spherical balloon increases from 8 cm to 12 cm. The ratio of the surface areas of balloon in two cases is:
  • 2 : 3
  • 3 : 2
  • 8 : 27
  • 4 : 9
Two cubes each of volume 8 cm³ are joined end to end, then the surface area of the resulting cuboid is:
  • 80 cm²
  • 64 cm²
  • 40 cm²
  • 8 cm²
A cylindrical pencil sharpened at one edge is combination of:
  • a cone and a cylinder
  • frustum of a cone and cylinder
  • a hemisphere and a cylinder
  • four cylinders
The curved surface area of a right circular cone of height 15 cm and base diameter 16 cm² is:
  • 60π cm²
  • 68π cm²
  • 1200π cm²
  • 136π cm²
A shuttle cock used for playing badminton has the shape of a combination of:
  • a cylinder and a sphere
  • a cylinder and a hemisphere
  • a cone and a sphere
  • a frustum of a cone and a hemisphere
The total surface area of a solid hemisphere of radius r is:
  • 47πr²
  • 2πr²
  • \(\frac{4}{3}\)πr³
  • 3πr²
The radius of a wire is decreased to one third. If volume remains the same, the length will become:
  • 3 times
  • 6 times
  • 9 times
  • 27 times
The volume of a right circular cylinder is 345 cm³. Then, the volume of a right circular cone whose radius of the base and height is the same as of circular cylinder will be:
  • 345 cm³
  • 690 cm³
  • 115 cm³
  • 230 cm³
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