How fast the volume of the sphere is changing when the surface area is 10 square centimeters is it is increasing at a rate of 30 cm³/s.
To solve the question, we need to know the volume of a sphere
<h3>
Volume of a sphere</h3>
The volume of a sphere V = 4πr³/3 where r = radius of sphere.
<h3>How fast the volume of the sphere is changing</h3>
To find the how fast the volume of the sphere is changing, we find rate of change of volume of the sphere. Thus, we differentiate its volume with respect to time.
So, dV/dt = d(4πr³/3)/dt
= d(4πr³/3)/dr × dr/dt
= 4πr²dr/dt where
- dr/dt = rate of change of radius of sphere and
- 4πr² = surface area of sphere
Given that
- dr/dt = + 3 cm/s (positive since it is increasing) and
- 4πr² = surface area of sphere = 10 cm²,
Substituting the values of the variables into the equation, we have
dV/dt = 4πr²dr/dt
dV/dt = 10 cm² × 3 cm/s
dV/dt = 30 cm³/s
So, how fast the volume of the sphere is changing when the surface area is 10 square centimeters is it is increasing at a rate of 30 cm³/s.
Learn more about how fast volume of sphere is changing here:
brainly.com/question/25814490
Answer:
DNE
Step-by-step explanation:
If x and y may be any real number, there is no minimum value for C. It can approach negative infinity.
If C is a constant, and the domain of x is all real numbers, there is no minimum for y. It can approach negative infinity.
We're not sure what you want or what restrictions may exist. The given relation does not suggest any minimum. We'd have to say it Does Not Exist
<h2>66.66%</h2>
Step-by-step explanation:
<h3>game cost = $12 with 0% discount</h3><h3 /><h3>so, on putting x% discount videogame cost become $8</h3><h3><em>x</em><em>%</em><em> </em><em>d</em><em>i</em><em>s</em><em>c</em><em>o</em><em>u</em><em>n</em><em>t</em><em> </em><em>=</em><em> </em><em>x</em><em>/</em><em> </em><em>1</em><em>0</em><em>0</em><em> </em><em>×</em><em> </em><em>$</em><em>1</em><em>2</em><em> </em><em>=</em><em> </em><em>$</em><em>8</em></h3><h3><em>x</em><em>%</em><em> </em><em>d</em><em>i</em><em>s</em><em>c</em><em>o</em><em>u</em><em>n</em><em>t</em><em> </em><em>=</em><em> </em><em>6</em><em>6</em><em>.</em><em>6</em><em>6</em><em>%</em></h3>
<h2>
MARK ME AS BRAINLIST</h2>
Well two pints equal one quart
If Damian needed 3 pints
but buys in 3 quarts
then he would have to buy 3 quarts
Which 3 quarts is equivalent to 6 pints.
389,420 because one hundred thousand is 100,000 so you just round the last number .
