CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
Question

A container shaped like a right circular cylinder having diameter 12 cm and height 15 cm is full of ice cream.

The ice cream is to be filled into 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.


Open in App
Solution

Step-1: Solve for the number of cones:

  • Given: Radius of cylinder (R)=1226cm
  • height of cylinder (H)=15cm
  • radius of cone (r)=62cm3cm
  • height of cone (h)=12cm

Let the total number of ice cream be n

Number of ice cream cones=volumeofcylindervolumeoficecreamcones

Volume of cylinder=πR2H

Step-2: Simplify the equation

volume of ice cream cones=volumeofcone+volumeofhemisphere

=13πr2h+23πr3

=13πr2(h+2r)=13π3212+2×3=π×3×18=54π

Number of ice cream cones=volumeofcylindervolumeoficecreamcones

=π×62×1554π=36×1554=10

Hence, number of cones are 10.


flag
Suggest Corrections
thumbs-up
0
BNAT
mid-banner-image