A hemispherical tank is filled with water and has a diameter of 4 feet. If water weighs 62.4 pounds per cubic foot, what is the total weight of the water in a full tank, to the nearest pound?

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Answer 1 · 2018-05-22T21:12:22

#color(blue)(1046 " pounds")#

The volume of a sphere is given as:

#V=4/3pir^3#

A hemisphere is half of this:

#V=1/2*4/3pir^3=2/3pir^3#

Diameter is 4 feet so radius is #4/2=2# feet.

Plugging in these values:

#V=2/3pi(2)^3=(16pi)/3# cubic feet.

If water weighs 62.4 pounds per cubic foot, then:

#(16pi)/3*62.4=1045.522035#pounds

#1046# pounds to the nearest pound.