Answer:
Step-by-step explanation:
Given:
Rate of change of radius of cylinder:
(This is increasing rate so positive)
Rate of change of height of cylinder:
(This is decreasing rate so negative)
To find:
Rate of change of volume when r = 20 inches and h = 16 inches.
Solution:
First of all, let us have a look at the formula for Volume:
Differentiating it w.r.to 't':
Let us have a look at the formula:
Applying the two formula for the above differentiation:
Now, putting the values:
So, the answer is:
Answer:
A. 108
sorry if im wrong but if u am I'm so sorry
Answer:
Simplify the expression.
i could not type in exponent so just open the screen shot
Step-by-step explanation:
i Hope it works
Answer: The length of the rectangle is 37.5 inches and the width is 12.5 inches
Step-by-step explanation: The dimensions of the rectangle is not given but we have clues given. The length is given as three times it’s width which means if the width is W, then the length would be given as 3W (three times the width). Also the perimeter is given as 100 inches and the formula for the perimeter is;
Perimeter = 2(L + W)
We can now insert the known values as follows;
100 = 2(3W + W)
100 = 2(4W)
100 = 8W
Divide both sides of the equation by 8
12.5 = W
Having calculated the width as 12.5 inches, the length now becomes
L = 3W
L = 3 x 12.5
L = 37.5
Hence the length is 37.5 inches and the width is 12.5 inches
Answer:
6765201
Step-by-step explanation:
(5.1*10)^4
51^4
6765201 (USED CALCULATOR)