Answer:
(4, 8)
Step-by-step explanation:
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Answer:
The capacity of smaller cooler = 7.5 gallons
The capacity of bigger cooler = 37.5 gallons
Step-by-step explanation:
Let smaller cooler's capacity be x gallons
Hence
Larger cooler's capacity will be 5x gallons
Together, they will hold 45 gallons, thus we can write:
x + 5x = 45
Solving:
x + 5x = 45
6x = 45
x = 45/6 = 7.5
And 5x = 5(7.5) = 37.5
The capacity of smaller cooler = 7.5 gallons
The capacity of bigger cooler = 37.5 gallons
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Answer:
The volume of cone is increasing at a rate 1808.64 cubic cm per second.
Step-by-step explanation:
We are given the following in the question:

Volume of cone =

where r is the radius and h is the height of the cone.
Instant height = 9 cm
Instant radius = 6 cm
Rate of change of volume =

Putting values, we get,

Thus, the volume of cone is increasing at a rate 1808.64 cubic cm per second.