A cylindrical container of radius 6cm and height 15cm is filled with ice cream. The whole ice cream has to be distributed to 10children in equal cones with hemispherical tops.if the height of the conical portion is 4times the radius of its base,find the radius of the ice cream cone?
Answers
Answer:
Step-by-step explanation:
Given, Radius of cylindrical container =6cm
Height of cylindrical container =15cm
Volume of cylinder =πr
2
h
=π×36×15
=540πcm
3
Now, as it has to be divided among 10 children
∴ Dividing volume by 10=
10
540
=54πcm
3
Volume of cone + Volume of hemispherical top = Volume of ice-cream in it.
⇒
3
1
πr
2
h+
3
2
πr
3
=πr
2
h
⇒
3
1
πr
2
(4r)+
3
2
πr
3
=54π
⇒
3
1
πr
3
(4+2)=54π
⇒2r
3
=54⇒r=3
Hence, the radius of icecream cone =3 cm.
Answer:
A cylindrical container of radius 6cm and height 15cm is filled with ice cream. The whole ice cream has to be distributed to 10children in equal cones with hemispherical tops.if the height of the conical portion is 4times the radius of its base,find the radius of the ice cream cone?