The diameter of a cylindrical construction pipe is 6 ft. If the pipe is 34 ft long, what is its volume?
1 answer:
Given:
The diameter of the cylindrical pipe = 6ft.
Height of the pipe = 34 ft
To find:
The volume of the pipe.
Solution:
We have,
Diameter of cylinder = 6 ft
Radius of cylinder ft
Height of the pipe = 34 ft
Volume of a cylinder is
Where, r is the radius and h is the height.
Putting r=3 and h=34, we get
Therefore, the volume of the cylindrical pipe is cubic ft.
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Change the function into vertex form:
f(x)=x²-10x+16
make a square by (adding half of -10)², which is 25, then subtract it:
f(x)=x²-10x+25-25+16
f(x)=(x-5)²-9
so the vertex is at (5,-9)
another way to do it:
f(x)=x²-10x+16
the vertex is when x=-
, b=-10, a=1 in this case.
x=-(-10/2*1)=5
plug x=5 into the quadratic function, you get f(x)=-9
f(x)=x²-10x+16
make a square by (adding half of -10)², which is 25, then subtract it:
f(x)=x²-10x+25-25+16
f(x)=(x-5)²-9
so the vertex is at (5,-9)
another way to do it:
f(x)=x²-10x+16
the vertex is when x=-
x=-(-10/2*1)=5
plug x=5 into the quadratic function, you get f(x)=-9