A hemispherical water tank has an inside diameter of 10 feet. If water has a density of 62.4 pounds per cubic foot, what is the weight of the water in a full tank, to the nearest pound?

32672.64 pounds

Step-by-step explanation:

Diameter = 10ft

Radius = d / 2 = 10 / 2 = 5ft

Density (p) = 62.4 pounds/ft³

Volume of a hemisphere = 4/3Πr³

V = 4/3 * π * 5³

V = 4/3 * 392.7

v = 523.6ft³

but density ρ = mass / volume

mass = density * volume

Mass = 62.4 * 532.6

Mass = 32672.64pounds

The weight of the water in full tank is 32672.64 pounds

she will sew have sewn five dresses   and be 1/3 done with the sixth one in an hour.

step-by-step explanation:

3/4 of an hour=45 mins

lucy makes 1 dress per 11.25 minutes

45 mins+11.25 mins=56.25 mins

60 mins- 56.25 mins=3.75 mins

3.75 mins is 1/3 of of 11.25 mins

therefore she the other 1/3 would be part of the hour and she will have sewn 5 dresses and begun the sixth.

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