Answer:
r = 5.848cm, h = 11.696cm
Step-by-step explanation:
Surface area: 
Volume: 
Therefore, the height of a cylinder given its volume would be
, thus:

We now find the derivative of the surface area of the cylinder with respect to its radius and set it equal to 0, solving for the radius:






If
, then the surface area of the cylinder increases
Therefore, the surface area is minimized when the radius is
, making the minimum height
.
In conclusion, the 2nd option is correct.
Circumference of a cirlce=2πr
Data:
r=7 in
Circumference=2(3.141592....)(7 in)=43.9822...in≈44 in.
Answer: 44 inches.
Answer:
1) 
2) 
3) 
Step-by-step explanation:
To write logs of the form
in their exponential form, you take the base b and put it to the power of x and then set that equal to a:
.
1. Here, b = 5, a = 25, and x = 2, so: 
2. In this problem, b = 5, x = 2, and a = x, so: 
3. Finally, here, b = b, a = 64, and x = 3, so: 
Hope this helps!
Heyy I don’t think your pictures are loading it just shows grey
Answer:
Step-by-step explanation: