Answer: 12 hours
Step-by-step explanation:
Let x = time it takes to fill the pool if the inlet pipe and drain pipe are both open
1/6 = portion of pool filled per hour by the inlet pipe
1/12 = portion of pool emptied per hour by the drain
1/x = portion of pool filled per hour if the inlet pipe and drain are both open
Then, 1/6 - 1/12 = 1/x
Multiply by the LCD, 12x, to obtain
2x - x = 12
x = 12 hours
This is a right angle triangle.
So, by Pythagoras theorem,
√(32^2+20^2) = x
or √(1024+400) = x
or √1424 = x
or <em>37.74 = x</em>
9514 1404 393
Answer:
12.0 cm
Step-by-step explanation:
Use the formula for the volume of a cylinder. Fill in the given values and solve for the height.
V = πr^2h
1846 cm^3 = π(7 cm)^2·h
h = 1846/(49π) cm ≈ 12.0 cm . . . . . . divide by the coefficient of h
The height of the can is about 12.0 cm.
