Its for
the height h, in inches, of the juice in the pitcher shown at the right is a function of the amount of juice j, in ounces, that has been poured out of the pitcher. write a function rule that represents this situation. what is the height of the juice after 47oz have been poured out?
what is the height of the juice when half of it has been poured out?
what fraction of the juice would you pour out to make the height decrease 1.in.?
The pitcher shown has a height of 10 inches and a volume of 64 oz. The pitcher has a shape of cylinder and the volume formula of cylinder is:
V = π r^2 h
So given volume and height, we can find for the radius:
64 = π r^2 (10)
r = 1.427
So for a 47 oz volume is poured out, what remains is:
V remain = 64 oz – 47 oz = 17 oz
So the height at a volume of 17 oz is:
17 = π (1.472)^2 h
h = 2.66 inches