Exercise :: Volume and Surface Area  General Questions
 Volume and Surface Area  Important Formulas
 Volume and Surface Area  General Questions
 Volume and Surface Area  Data Sufficiency 1
 Volume and Surface Area  Data Sufficiency 2
1.  A right triangle with sides 3 cm, 4 cm and 5 cm is rotated the side of 3 cm to form a cone. The volume of the cone so formed is: 

Answer: Option A Explanation: Clearly, we have r = 3 cm and h = 4 cm.
Video Explanation: https://youtu.be/Njsid2mVwUY 
2.  In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is: 

Answer: Option B Explanation: 1 hectare = 10,000 m^{2} So, Area = (1.5 x 10000) m^{2} = 15000 m^{2}.
Video Explanation: https://youtu.be/dDbVuBzYop8 
3.  A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is: 

Answer: Option C Explanation: 2(15 + 12) x h = 2(15 x 12)
Video Explanation: https://youtu.be/V8EQ1YIaH74 
4.  66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be: 

Answer: Option A Explanation: Let the length of the wire be h.

5.  A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8 g/cm^{3}, then the weight of the pipe is: 

Answer: Option B Explanation: External radius = 4 cm, Internal radius = 3 cm.
Weight of iron = (462 x 8) gm = 3696 gm = 3.696 kg. 