A right circular cylindrical container of base radius 6cm and height 15cm is full of ice cream. the ice cream is to be filled in cones of height 9cm and base radius 3cm having a hemispherial cap. find the number of cones needed to empty the container.
Answers
Here is your answer mate
≡QUESTION≡
A right circular cylindrical container of base radius 6 cm and height 15 cm is full of ice cream. the ice cream is to be filled in cones of height 9 cm and base radius 3 cm having a hemispherical cap. Find the number of cones needed to empty the container.
║⊕ANSWER⊕║
Volume of Ice cream in the container = πr²h
= 22/7 * (6)²(15)
= 1697.14 cm³
Volume of Ice cream cone = Volume of Hemisphere + volume of cone = 2/3πr³ + 1/3πr²h
= 2/3 * 22/7 * (3)³ + 1/3 * 22/7* (3)² * 9
= (3)²22/7 [2 + 3]
= 5 * 9 * 22/7
= 141.43 cm³
Thus number of cones required = 1697.14/141.43
= 12 cones.