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Sagot :
9514 1404 393
Answer:
4) 134ft³
5) 1002 gallons; 9292 lb filled
6) the deck will support
Step-by-step explanation:
4) The volume of a cylinder is given by the formula ...
V = πr²h = (π/4)d²h
The volume of this hot tub is ...
V = (π/4)(8 ft)²(32/12 ft) = 128π/3 ft³ ≈ 134 ft³
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5) The volume in gallons is ...
(134 ft³)×(7.48 gal/ft³) ≈ 1002 gal
The weight of the water in the tub will be ...
(1002 gal)(8.35 lb/gal) = 8367 lb
So, the weight of the tub filled with water is ...
925 lb +8367 lb = 9292 lb
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6) Then the total weight of tub, water, and friends is ...
9292 lb + 1150 lb = 10,442 lb < 11,500 lb
The deck will support this hot tub.
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Additional comment
In the above calculations, we have used the rounded values at each stage of the calculation. This results in a calculated weight that is perhaps 5 lbs less than the weight calculated without rounding intermediate values.
The capacity of the deck is about 10% more than the weight of the hot tub and friends. Ordinarily, a substantially greater margin would be preferred. Here, the deck is at risk of failure if 6 more friends show up than are expected.
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