Related Rates
1 answer:
Answer:
- 0.382 m/min
- 8 1/3 ft/s
Step-by-step explanation:
1. The rate of change of volume is ...
V = πr^2h
V' = πr^2h'
h' = V'/(πr^2) = (3 m^3/min)/(π(5 m)^2) = 0.12/π m/min
h' ≈ 0.382 m/min
__
2. In the attached, ∆PCM ~ ∆MXS, so we can write the proportion ...
x/9 = s/15 . . . . where x = BX and s = BS in the diagram
Multiplying by 15 gives ...
s = (15/9)x = (5/3)x
Then the rate of change is ...
s' = (5/3)x' = (5/3)(5 ft/s)
s' = 8 1/3 ft/s
The tip of the shadow is moving at 8 1/3 feet per second.
You might be interested in
Answer:
626,566.42
Step-by-step explanation:
The quotient is answer of a value divided by another value. In this problem we have a value of 1,000,000,000 divided by the product of 28 x 57.
This can be represented like this:
The fraction can also be used to indicate a number being divided by another number.