The circumference of the ferris wheel at the county fair is 78.5 feet. what is the diameter in feet? Round to the nearest hundre
1 answer:
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Answer:
The diameter decreases at a rate of -0.0477 cm/min when it is 10 cm.
Step-by-step explanation:
Surface area of a snowball:
A snowball has a spheric format, which means that it's surface area is given by:
In which r is the radius, which is half the diameter. In function of the diameter, the area is given by:
Solving the question:
To solve this question, we have to implicitly derivate the area in function of t. So
Snowball melts so that its surface area decreases at a rate of 3 cm2/min
This means that
Find the rate at which the diameter decreases when the diameter is 10 cm.
This is when
. So
The diameter decreases at a rate of -0.0477 cm/min when it is 10 cm.