How long will it take to fill a sphere-shaped vat with radius 18.1 ft with a...
How long will it take to fill a sphere-shaped vat with radius 18.1 ft with a certain liquid (d=2.09 g/mL) if it is spilling out of the hose at 11821.4 g/s?
Homework Answers
conversion to be used:
1 ft = 30.48 cm
radius,
r = 18.1 ft
= 18.1 * 30.48 cm
= 551.7 cm
use:
volume = (4/3)*pi*r^3
= (4/3)*3.14*(551.7 cm)^3
= 7.03*10^8 cm^3
= 7.03*10^8 mL
mass of liquid = density * volume
= (2.09 g/mL)*(7.03*10^8 mL)
= 1.47*10^9 g
now use:
time = mass of liquid / rate of spilling
= 1.47*10^9 g / 11821.4 g/s
=1.24*10^5 s
= 1.24*10^5 / 3600 hr
= 34.5 hr
Answer: 34.5 hr
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