Saved Bookmarks
| 1. |
Height of a cylindrical barrel is 50 cm and radius of its base is 20 cm. Anurag started to fill the barrel with water, when it was empty, by a cylindrical mug. The diameter and height of the mug was 10 cm and 15 cm respectively. How many minimum number of mugs will be required for the barrel to overflow? |
|
Answer» For barrel : Height = 50 cm, Radius of base = 20 cm ∴ Volume of barrel = πr²h = π × (20)2 × 50 = 400 × 50 × π For mug : Height = 15 cm, Diameter of base = 10 cm ∴ Radius of Base = 5 cm Volume of mug = πr²h = π × (5)² × 15 = 25 × 15 × π Volume of barrel / Volume of mug = 400x50x π / 25x 15x π =160 / 3 = 53 1 / 3 When 54th mug is poured in the barrel it will overflow |
|