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Question: Answered & Verified by Expert
A cone of radius R and height H, is hanging inside a liquid of density ρ by means of a string as shown in the figure. The force, due to the liquid acting on the slant surface of the cone is

PhysicsMechanical Properties of FluidsJEE Main
Options:
  • A ρ π g H R 2
  • B π ρ H R 2
  • C 4 3 π ρ g H R 2
  • D 2 3 π ρ g H R 2
Solution:
1433 Upvotes Verified Answer
The correct answer is: 2 3 π ρ g H R 2
Buoyoncy = force on base-force on slant surface (f​y)

Force on slant surface = force on base-buoyancy

Force on slant surface = π R 2 H ρ g - 1 3 π R 2 H ρ g             



Force on slant surface = 2 3 π R 2 H ρ g

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