The area of the cylinder is a function of its height (h) and radius, (
)
The exact value of h is: 
The given parameters are:
The surface area of a cylinder is calculated as:
Substitute values for Area
Divide through by pi
Substitute value for r
Collect like terms
Make h the subject
Rationalize
Hence, the exact value of h is:
Read more about surface areas t:
brainly.com/question/25131428
Answer: 1.2metres
Step-by-step explanation:
Five years ago, tree was 4.9m
Today, tree is 6.1m
Subtract 4.9m from 6.1m
Tree has grown by 1.2m
Answer:
It is the 3rd choice. It is 4 times as big as the smaller cylinder
Step-by-step explanation:
V = πr2h
r - radius
h - height
π - pi
= π(3)2(10)
enter into a calucaltor and you get 282.74
= π(6)2(10)
enter into a calucaltor and you get 1130.97
Divide 1130 by 282 and you get about 4
Answer:
1) 2x+7
2) -3x+11
3) 0.75x-2
4) -2x+0
5) -1.5x+2
6) -4x+16
Step-by-step explanation:
1) y = mx + c
m = 2 when x=1 , y=9
9 = 2(1)+c
c = 7
y = 2x + 7
2) m = -3
When x=4, y= -1
-1 = -3(4) + c
c = -1+12 = 11
y = -3x + 11
3) m = 0.75
When x= -4, y= -5
-5 = 0.75(-4) + c
-5 = -3 + c
c = -2
y = 0.75x - 2
4) m = (y2-y1)/(x2-x1)
m = (2-(-6))/(-1-3) = 8/-4 = -2
y = -2x + c
When x= -1, y= 2
2 = -2(-1) + c
2 = 2 + c
c = 0
y = -2x + 0
5) m = (-10-(-4))/(8-4)
m = (-10+4)/4 = -6/4 = -1.5
y = -1.5x + c
When x= 4, y= -4
-4 = -1.5(4) + c
-4 = -6 + c
c = 2
y = -1.5x + 2
6) m = (-4-4)/(5-3) = -8/2 = -4
When x= 3, y= 4
4 = -4(3) + c
4 = -12 + c
c = 16
y = -4x + 16
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