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  • Question

  • 10 circular plates each of thickness 3 cm, each are placed one above the other and a hemisphere of radius 6 cm is placed on the top just to cover the cylindrical solid. What is the volume of the solid so for formed?


  • Options
  • A. 264? cm3
  • B. 252? cm3
  • C. 236? cm3
  • D. None of these

  • Correct Answer
  • None of these 

    Explanation

    If 10 circular plates each of thickness 3 cm, each are placed one above the other, then it forms a cylinder with height (3 x 10 = 30 cm) and a hemisphere of radius 6 cm is placed on the top just to cover the cylinder that means its radius is 6 cm also
    ? Radius of hemisphere (R) = 6 cm
    Radius of cylinder (r) = 6 cm
    and height of cylinder (h) = 30 cm
    ? Volume of the solid = Volume of cylinder + Volume of hemisphere
    = ?r2h + (2/3)?R3
    = ?(6)2 x 30 + (2/3)?(6)3
    = ? x 36 x 30 + (2/3)? x 216
    = 1080? + 2? x 72 = 1080? + 144?
    = 1224? cm3
    Which is the required volume of solid.

    • More questions

    • 1. 
      Two trains of equals length are running on parallel line in the same direction at the rate of 46 kmph and 36 kmph. The faster train passes the slower train in 36 seconds. The length of each train is?

    • Options
    • A. 50 metres
    • B. 72 metres
    • C. 80 metres
    • D. 82 metres
      • Discuss
    • 2. Dealer purchased an article for Rs. 900 and fixes the list price in such a way that he gains 20% after allowing 10% discount, then the list price is

    • Options
    • A. Rs.1180
    • B. Rs.1080
    • C. Rs.1200
    • D. Rs.1100
      • Discuss
    • 3. A trader had 1200 kgs of rice. He sold a part of it at 5% profit and the rest at 11% profit, so that he made a total profit of 7%. How much (in kg) wheat did he sell at 5% profit?

    • Options
    • A. 900
    • B. 600
    • C. 400
    • D. 800
      • Discuss
    • 4. A shopkeeper increases the price of an object by 40% and then sells it at 25% discount on the marked price. If the selling price of such an object be Rs. 2100, its cost price for the shopkeeper was ?

    • Options
    • A. 3000
    • B. 1500
    • C. 1750
    • D. 2000
      • Discuss
    • 5. By what fraction selling price (S.P.) must be multiplied to get the cost price (C.P.) if the loss is 20% ?

    • Options
    • A. 4/5
    • B. 8/5
    • C. 5/4
    • D. 6/5
      • Discuss
    • 6. The profit earned by a shopkeeper by selling a bucket at a gain of 8% is Rs 28 more than when he sells it at a loss of 8%. The cost price (in Rupees) of the bucket is

    • Options
    • A. 170
    • B. 190
    • C. 175
    • D. 165
      • Discuss
    • 7. A vendor buys bananas at 7 for Rs 6 and sells at 6 for Rs 7. What will be the result?

    • Options
    • A. 36.1% loss
    • B. 26.5% profit
    • C. 36.1% profit
    • D. 26.5% loss
      • Discuss
    • 8. A grocer had 1600 kgs of wheat. He sold a part of it at 20% profit and the rest at 12% profit, so that he made a total profit of 17%. How much wheat (in kg) did he sell at 20% profit?

    • Options
    • A. 600
    • B. 1000
    • C. 800
    • D. 1200
      • Discuss
    • 9. If 60% discount is offered on the marked price and selling price becomes equal to cost price then what was the % mark up?

    • Options
    • A. 100
    • B. 250
    • C. 150
    • D. 40
      • Discuss
    • 10. A shopkeeper, sold cocoa seeds at the rate Rs 1330 a kg and bears a loss of 15%. Now if he decides to sell it at Rs 1463 per kg, what will be the result?

    • Options
    • A. 13 percent loss
    • B. 6.5 percent gain
    • C. 6.5 percent loss
    • D. 13 percent gain
      • Discuss

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