A water tank is in the form of a right circular cylinder with height 15 ft and radius 6 ft. Find the work required to pump all of it to a point 10 ft above the top of the tank. Water weights 62.4 lb/ft3.Round your answer to the nearest integer.

Respuesta :

Answer:

Explanation:

Mass of water = volume of water x density of water

Volume of water = π r² h

= 3.14 x 6 x 6 x 15

=1695.6 ft³

mass of water = 1695.6 x 62.4 = 106 x 10³ lb.

Centre of mass of water-mass is lifted from a height of ( 7.5 ft , cm  of water ) to  height of 25 ft .

Rise in height ( h )

= 25 - 7.5 = 17.5 ft

Rise in potential energy

= m g h  = 106 x 10³ x 32 x 17.5 = 59360 x 10³ ft lb.

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