# A right circular cylinder having diameter 12 cm and height 15 cm is full of ice-cream. The ice-cream is to be filled in cones of height 12 cm and diameter 6 cm having a hemispherical shape on the top. Find the number of such cones which can be filled with ice-cream.

Given: Diameter of cylinder = 12 cm

Height of cylinder = 15 cm

Diameter of cone = 6 cm

Height of cone = 12 cm

To find: Number of cones to be filled with ice-cream.

Formula Used:

Volume of cone =

Volume of the cylinder = πr2h

Volume of hemisphere =

Explanation:

Radius of cylinder “R” = = 6 cm

Height of cylinder “H” = 15 cm

Volume of cylinder = π×(6)2×15

= π×36×15

= 540π cm3

Radius of cone “r” = = 3 cm

Height of cone “h” = 12 cm

Volume of conical part =

=

= 36π cm3

Volume of hemispherical part =

= 18π cm3

Volume of ice-cream = Volume of conical part + Volume of hemispherical part

= 36π + 18π

= 54π cm3

= 10

Hence 10 cones are required.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Surface Area and Volumes43 mins
RD Sharma | Imp Concepts : Surface Area And Volumes43 mins
RD Sharma | Surface Area And Volumes43 mins
IMP Formula's and Qs For Surface Area and Volumes45 mins
RD Sharma | Imp. Qs. From Surface Area And Volumes47 mins
Quiz | Surface Area and Volumes42 mins
Surface Area and Volume49 mins
Areas Related to Circle36 mins
Quiz | Areas Related to Circles43 mins
Foundation | Let's Understand Some High Level Concepts41 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses