A milk truck carries milk with density 64.6 lb/ft3 in a horizontal cylindrical tank with diameter 8 ft. (a) Find the force exerted by the milk on one end of the tank when the tank is full. (Round your answer to the nearest integer.) lb
(b) What if the tank is half full?

a) 12989 Ib

b) 2756.3 Ib

Step-by-step explanation:

Density of milk = 64.6 Ib/ft^3

Diameter of tank = 8 ft

radius = 4 ft

a) Calculate force exerted by milk on one end of tank when Tank is full

pressure on strip ≈ 64.6 ( 4 - yi ) i.e. surface of milk = 4

Total force = 129.2 *  

∴Force exerted  = 129.2 * Area of semicircle( radius =4 ) * radius

                        = 129.2* 8π * 4 ≈  12989 Ib

b) Force exerted when Tank is half full

pressure on strip ≈ 64.6 ( 0 - yi )  i.e. surface of milk = 0

Total force = 129.2 *

∴ Force exerted ≈ 2756.3 Ib

it is contrapositive

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