Surface Areas And Volumes

15 Questions | By Jagranjosh | Last updated: Mar 30, 2018 | Total Attempts: 1389

Questions

Settings

Surface areas and volumes of cones, cubes and cylinders are crucial topics in mathematics. Refresh your memory by taking the quiz below to test your knowledge on this interesting topic to see how much you can remember. Enjoy.

Questions and Answers

1.

Volume of the cone is:
- A.
  
  πr²h
- B.
  
  1/3 πr²h
- C.
  
  2/3 πr³
- D.
  
  4/3 πr³
2.

What would be the side of a cube of same volume as that of cuboid of 225 m³?
- A.
  
  15 m
- B.
  
  15.5 m
- C.
  
  16.5 m
- D.
  
  14.5 m
3.

The total surface area of a solid hemisphere of radius r is:
- A.
  
  πr²
- B.
  
  2πr²
- C.
  
  3πr²
- D.
  
  4πr²
4.

The volume and the curved surface area of a sphere are numerically equal, then the radius of sphere is:
- A.
  
  0 units
- B.
  
  1 unit
- C.
  
  2 units
- D.
  
  3 units
5.

Small spheres, each of radius 2cm, are made by melting a solid iron ball of radius 6cm, then the total number of small spheres is:
- A.
  
  6
- B.
  
  9
- C.
  
  27
- D.
  
  81
6.

A cylinder, a cone and a hemisphere are of the same base and of the same height. The ratio of their volumes is:
- A.
  
  1 : 2 : 3
- B.
  
  2 : 1 : 3
- C.
  
  3 : 1 : 2
- D.
  
  3 : 2 : 1
7.

A solid sphere of radius r cm is melted and recast into the shape of solid cone of height r. The radius of the base of the cone is:
- A.
  
  R
- B.
  
  2r
- C.
  
  3r
- D.
  
  4r
8.

Three solid spheres of diameters 6 cm. 8 cm and 10 cm are melted to form a single solid sphere. The diameter of the new sphere is:
- A.
  
  3 cm
- B.
  
  4.5 cm
- C.
  
  6 cm
- D.
  
  12 cm
9.

The radii of the ends of a frustum of a cone 40 cm high are 38 cm and 8 cm. The slant height of the frustum of cone is:
- A.
  
  26.46 cm
- B.
  
  38.93 cm
- C.
  
  50 cm
- D.
  
  60.96 cm
10.

The length of the diagonal of a cube inscribed in a sphere of radius 10 cm is:
- A.
  
  5 cm
- B.
  
  10 cm
- C.
  
  15 cm
- D.
  
  20 cm
11.

If a cone is cut into two parts by a horizontal plane passing through the mid-point of the axis, then the ratio of the volumes of the small cone to that of the original cone is
- A.
  
  1 : 2
- B.
  
  1 : 4
- C.
  
  1 : 8
- D.
  
  1 : 16
12.

The length of the longest rod that can be placed in a cuboidal room of dimensions 20 cm, 12 cm and 9 cm:
- A.
  
  25 cm
- B.
  
  28 cm
- C.
  
  32 cm
- D.
  
  35 cm
13.

A cubical block of side 8 cm is surmounted by a hemisphere. The greatest diameter of the hemisphere is:
- A.
  
  4 cm
- B.
  
  8 cm
- C.
  
  12 cm
- D.
  
  16 cm
14.

The number of silver coins, 2 cm in diameter and of thickness 2 mm, is required to melt and form a cuboid of dimension 5 cm X 10 cm X 3 cm is:
- A.
  
  650 coins
- B.
  
  700 coins
- C.
  
  750 coins
- D.
  
  800 coins
15.

If the volume of the cube is 729 cm², then its edge is:
- A.
  
  6 cm
- B.
  
  7 cm
- C.
  
  8 cm
- D.
  
  9 cm