SOLUTION: Samantha is thinking of buying a circular hot tub 12 ft in diameter, 4 ft deep, and weighing 475 lb. She wants to place the hot tub on a deck built to support 30,000 lb. Determi

Algebra ->  Volume -> SOLUTION: Samantha is thinking of buying a circular hot tub 12 ft in diameter, 4 ft deep, and weighing 475 lb. She wants to place the hot tub on a deck built to support 30,000 lb. Determi      Log On


   



Question 1145865: Samantha is thinking of buying a circular hot tub 12 ft in diameter, 4 ft deep, and weighing 475 lb. She wants to place the hot tub on a deck built to support 30,000 lb.
Determine the volume of the water in the hot tub in cubic feet.
Determine the number of gallons of water the hot tub will hold. (Note: 1 ft^3=5gal )
Determine the weight of the water in the hot tub. (Hint: Fresh water weighs about 62.4lbs/ft^3
Will the deck support the weight of the hot tub and water?
Will the deck support the weight of the hot tub, water, and four people, whose average weight is 115 lb?

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Samantha is thinking of buying a circular hot tub 12 ft in diameter, 4 ft deep, and weighing 475 lb. She wants to place the hot tub on a deck built to support 30,000 lb.
Determine the volume of the water in the hot tub in cubic feet.
r = d/2
Vol = pi*r^2*h
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Determine the number of gallons of water the hot tub will hold. (Note: 1 ft^3=5gal )
Determine the weight of the water in the hot tub. (Hint: Fresh water weighs about 62.4lbs/ft^3
Will the deck support the weight of the hot tub and water?
Will the deck support the weight of the hot tub, water, and four people, whose average weight is 115 lb?
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The rest is just multiplication.