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:



![r = \sqrt[3]{\frac{3(3131)}{4\pi}}](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7B3%283131%29%7D%7B4%5Cpi%7D%7D)

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
Answer:
$2,263.63
Step-by-step explanation:
You start with "if" but don't end with what your goal is. I will assume that you want to know how much you'll have to pay after 5 years to pay off this $1,000 loan.
Use the compound amount formula A = P(1 + r)^5. Replacing P with $1,000, r with 0.1775 and t with 5 years, we get the payoff balance
A = $1,000(1 + 0.1775)^5 = $2,263.63
Answer:
431 and 43
Step-by-step explanation:
Two numbers: y1 and y
Number one: y1 = 10 * y + 1
(10 * y + 1) + y = 474
11y = 473
y = 43
Two numbers: 431 and 43
check: 431 remove 1 (digit) -> 43
431+43=474
Answer:
z=80°<em><u>(</u></em><em><u>corresponding</u></em><em><u> </u></em><em><u>angles)</u></em>
<em><u>
</u></em>
<em><u>y=</u></em><em><u>100 </u></em><em><u>° </u></em><em><u>(</u></em><em><u>alternate</u></em><em><u> </u></em><em><u>angles</u></em><em><u>)</u></em>
<h2>
<em><u>Hope </u></em><em><u>it </u></em><em><u>helps</u></em><em><u> you</u></em><em><u><</u></em><em><u>3</u></em></h2>
Answer:dilation
Step-by-step explanation:
The type of transformation that will produce a similar, but not congruent figure is a dilation