Answer:
8·549516
Step-by-step explanation:
To round the number given to 6 decimal place, we will follow the steps below;
First count six digits after the decimal point
Then after the six digit number take the next number and see if it below 5 then this means you will be rounding down, so you will leave your six digit after the decimal points the way they are and discard the other digits after the the six digits, but if the digit number right after the sixth digit is 5 and above, then you will be rounding up, you will add one to your sixth digit and then discard the digits after the sixth digits.
That is;
In the number given: 8.54951607694
The sixth digit after the decimal point is 6, the number that comes after it is zero, so we will leave the 6 the way it is and discard the other digits after 6
8.54951607694 ≈ 8·549516 to 6 decimal place
Answer:
See solution below
Step-by-step explanation:
Let the coordinate's of A and B be (1, 0) and (2,4) respectively
midpoint M (X, Y) = [(x1+x2/2, y1+y2/2)]
X = x1+x2/2
X = 1+2/2
X = 3/2
X = 1.5
Y = y1+y2/2
Y = 0+4/2
Y = 4/2
Y = 2
Hence the required midpoint (X, Y) is (1.5, 2)
Slope m = y2-y1/x2-x1
m = 4-0/2-1
m = 4/1
m = 4
Hence the slope is 4
<em>Note that the coordinates are assumed but the same calculation can be employed for any other coordinates</em>
85/5
(50+35)/5
50/5 + 35/5
10+7=17
So Volume of cylinder is pi*r^2*h = 1,000
Then lightest one means you have the smallest surface area. Which is one base and then the area of the surface. SA = pi*r^2 + 2pi*r*h
So now you have 2 equations, so:
h = 1,000/(pi*r^2)
So then SA = pi*r^2 + 2pi*r*(1,000/(pi*r^2) = pi*r^2 + 2,000/r
Derivative of SA is then 2pi*r -2,000/r^2. Set to 0
2pi*r-2,000/r^2 =0 --> 2pi*r^3 = 2,000 --> r^3 = 1,000/pi --> r = 10/pi^(1/3)
Now go back to the volume function: pi*r^2*h =1,000 --> 1,000/(pi*100/pi^(2/3)) = h
<span>h = 10 / pi^(1/3)</span>
