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 ![0If [tex]r>5.848](https://tex.z-dn.net/?f=0If%20%5Btex%5Dr%3E5.848)
, 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.
Answer:
63
Step-by-step explanation:
35% are of seventh grade.
total students = 180
.: 35% of 180. = 35/100 × 180 = 35 × 18 /10
= 630/10
=63
.: The number of seventh graders are 63.
Answer:
I agree with the student's answer. "x" cannot be -2 because then it would make -20 which is not equal to 20:
5(-2)(2) = ?
-10 x 2 = ?
? = -20
-20 ≠ 20
Step-by-step explanation:
Justificaiton:
5(x)(2) = 20
10(x) = 20
10/10(x) = 20/10
x = 2
Second Justification:
5(x)(2) = 20
5/5(x)(2) = 20/5
2x = 4
2x/2 = 4/2
x = 2
If she runs half the distance to school, and runs the same back, this means that she suns 7/8 miles in a day. In 5 days, 5 x 7/8 = 35/8 miles (or 4.375 miles in 5 days).
