Answer:
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Step-by-step explanation:
The volume formula of a cylinder is given as:
V = π r^2 h
So plugging in the value of the volume:
10 ft^3 = π r^2 h
<span>h = 10 / (π r^2) --->
eqtn 1</span>
The formula for the surface area of cylinder is:
s = 2 π r h + 2 π r^2
plugging in eqtn 1:
s = 2 π r [10 / (π r^2)] + 2 π r^2
<span>s = (20 / r) + 2 π r^2 (ANSWER)</span>
Remark
If you have the area of the sector, then what you need is the area of the triangle in order to find the area of the shaded area. Just subtract the two.
Area of the triangle
The right angle makes finding the base and height very easy since they are equal
Area_Triangle = 1/2 * b * h
b = 9
h = 9
Area = 1/2 * 9 * 9
Area = 1/2 * 81
Area = 40.5
Area of the Shaded Area
Area_shaded = area of the sector - area of the triangle.
Area_shaded = 20.25 * pi - 40.5
Area_shaded = 20.25(pi - 2) <<<< Answer
y=kx+b
for (7,-8): -8=7k+b. (function 1)
for (-4,6): 6=-4k+b (function 2)
Use function 2 - function 1
we get: 14=-11k
k=-14/11------>slope is -14/11
Now we know that first two options are wrong since they have the wrong slope for the function.
Plus -14/11 back to function 1/ or 2. Both are correct and can give you the answer. In this case I would plug it back to function 2.
6=14*4/11+b
b=66/11-56/11
b=10/11
We get y=-14/11x+10/11
subtract both side by 6.
y-6=-14/11x+10/11-66/11
y-6=-14/11x-56/11
y-6=-14/11(x+4)
So C is correct
