Saved Bookmarks
| 1. |
Wine from a full cylindrical container with a diameter of 11 cm and a height of 17 cm is poured into glasses that have the shape of a hemisphere with a diameter of 9 cm.(i) How many glasses can be filled completely? (ii) How many liters of wine needed for 50 full glasses? |
|
Answer» Given : Wine from a full cylindrical container with a diameter of 11 cm and a height of 17 cm is poured into glasses that have the SHAPE of a hemisphere with a diameter of 9 cm. To Find : (i) How many glasses can be filled completely? (ii) How many liters of wine NEEDED for 50 full glasses? Solution: Radius = Diameter /2 Volume of cylinder = πr²h r = 11/2 h = 17 => Volume of cylindrical container = π ( 11/2)² * 17 = 2057 π/8 Volume of hemisphere = (2/3)πr³ r = 9/2 => Volume of glass = (2/3)π(9/2) ³ = 486 π/8 glasses can be filled completely ≤ (2057 π/8) / (486 π/8) ≤ 4.23 = 4 HENCE 4 glasses can be filled wine needed for 50 glasses = 50 * 486 π/8 = 9,542 cm³ = 9.542 Litre learn More Hemisphere and a cone both have a same diameter these TWO metal ... Mensuration , volume and surface area of solid figures - Cube ... |
|