Answer:
Step-by-step explanation:
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Look at the traingle upside down.
The base is 6 and the height is 5 (remember that height must be perpendicular to the base and that the red lines aren't actually a part of the figure).
6*5=30
30/2=15
Final answer: 15 yd^2
When a question says assess the reasonableness of the answer is usually means to explain why you chose it and why it makes the most sense.
Using implicit differentiation, it is found that the rate of change of the surface area of the sphere -2201.293 square centimeters per second.
<h3>What is the volume of a sphere?</h3>
- The volume of a sphere, of radius r, is given by:
<h3>What is the surface area of a sphere?</h3>
- The surface area of a sphere, of radius r, is given by:
<h3>What is the rate of change?</h3>
Applying <em>implicit differentiation</em>, the rate of change of both the volume and the surface area can be found, as follows:
Volume of 3131 cubic centimeters, hence:
The volume of a sphere is decreasing at a constant rate of 9988 cubic centimeters per minute, hence:
Then, the <u>rate of change of the surface area</u> of the sphere is given by:
The rate of change of the surface area of the sphere -2201.293 square centimeters per second.
To learn more about implicit differentiation, you can take a look at brainly.com/question/25608353