solution33

solution33 - Correct answer: 209 . 868 cm. Explanation: We...

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fullwood (tf5349) – Quiz 1 Basics – Catala – (49033) 1 This print-out should have 3 questions. Multiple-choice questions may continue on the next column or page – Fnd all choices before answering. 001 10.0 points Water ±ows into a swimming pool at the rate of 14 gal / min. If the pool dimensions are 29 . 8 ft wide, 49 . 8 ft long and 11 . 1 ft deep, how long does it take to Fll the pool? (1 gallon = 231 cubic inches) Correct answer: 8801 . 82 min. Explanation: Let : = 49 . 8 ft , w = 29 . 8 ft , d = 11 . 1 ft , and F = 14 gal / min . V = ℓ w d , so the ±ow rate is F = V t = ℓ w d t t = ℓ w d F = (49 . 8 ft) (29 . 8 ft) (11 . 1 ft) 14 gal / min × p 12 in 1 ft P 3 · p 1 gal 231 in 3 P = 8801 . 82 min . 002 10.0 points A basketball player is 6 ft 10 5 8 in tall. What is his height in centimeters?
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Unformatted text preview: Correct answer: 209 . 868 cm. Explanation: We can convert to inches and then to cen-timeters: 6 ft 10 5 8 in = p 6 ft 12 in 1 ft + 10 . 625 in P 2 . 54 cm 1 in = 209 . 868 cm . 003 10.0 points The mass of the planet Saturn is about 5 . 64 10 26 kg and its radius 6 10 7 m. Calculate its density. Correct answer: 623 . 357 kg / m 3 . Explanation: Let : M = 5 . 64 10 26 kg and R = 6 10 7 m . Assuming Saturn to be a sphere (neglecting the rings), V = 4 3 R 3 , so the density of Saturn is = M V = M 4 3 R 3 = 3 (5 . 64 10 26 kg) 4 (6 10 7 m) 3 = 623 . 357 kg / m 3 ....
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