A solid wooden cone has been supported by a string inside water as shown in the figure. The radius of the circular base of the cone is R and the volume of the cone is v. In equilibrium the base of the cone is at a depth H below the water surface. Density of wood is d(`ltrho`, density of water).

(a) Find tension in the string.
(b) Find the force applied by the water on the slant surface of the coone. take atmospheric pressure to be `p_(0)`.

Answer

(a) `vg(d-rho)`
(b) `piR^(2)(rho_(0)+rhogH)-vrhog`