The required equation of the surface area of the cylinder is 
<u>Solution:</u>
Let "r" be the radius of cylinder and "h" be the height.
Formula for surface area is:
where 
is surface of two bases of cylinder and 
is surface of mantle.
From the given, the height of the gift box is three times the radius, i.e 
On substituting the given values in the formula we get,
![S = 2\times\pi[(3x+4)^2 + (9x+12)\times(3x+4)]](https://tex.z-dn.net/?f=S%20%3D%202%5Ctimes%5Cpi%5B%283x%2B4%29%5E2%20%2B%20%289x%2B12%29%5Ctimes%283x%2B4%29%5D)
![\Rightarrow S=2\pi[(3x^2)+2\times3x\times4+4^2]+[(9x\times3x)+12\times3x+36x+48]](https://tex.z-dn.net/?f=%5CRightarrow%20S%3D2%5Cpi%5B%283x%5E2%29%2B2%5Ctimes3x%5Ctimes4%2B4%5E2%5D%2B%5B%289x%5Ctimes3x%29%2B12%5Ctimes3x%2B36x%2B48%5D)
![\Rightarrow S=2\pi[9x^2+24x+16]+[21x^2+36x+36x+48]](https://tex.z-dn.net/?f=%5CRightarrow%20S%3D2%5Cpi%5B9x%5E2%2B24x%2B16%5D%2B%5B21x%5E2%2B36x%2B36x%2B48%5D)
![\Rightarrow S=2\pi[9x^2+24x+16+21x^2+72x+48]\rightarrow2\pi[30x^2+96x+64]](https://tex.z-dn.net/?f=%5CRightarrow%20S%3D2%5Cpi%5B9x%5E2%2B24x%2B16%2B21x%5E2%2B72x%2B48%5D%5Crightarrow2%5Cpi%5B30x%5E2%2B96x%2B64%5D)
On multiplying 
inside the brackets we get,
![\Rightarrow S=[60\pi x^2+192\pi x+128\pi]](https://tex.z-dn.net/?f=%5CRightarrow%20S%3D%5B60%5Cpi%20x%5E2%2B192%5Cpi%20x%2B128%5Cpi%5D)
Hence, the required equation is
The question gives you unneeded information to confuse you: the length of the table. Just ignore that for this question.
To figure out how long he worked, add the time he spent each day on the table.
He spent 3 hours and 45 minutes the first day and 2 hours and 10 minutes the second day
3 hours + 2 hours = 5 hours
45 minutes + 10 minutes = 55 minutes
Herman spent 5 hours and 55 minutes to build the table.
Answer:
8.635 ≤ x < 8.645
Step-by-step explanation:
When a measurement is expressed to a certain precision, it can be because it was rounded to that precision. Rounding up occurs from values that are equal to or greater than 5 in the place to the right of the right-most digit.
That is, the smallest value that will round up to 8.64 is 8.635.
Rounding down occurs from values that are less than 5 in that same number place. Any value less than 8.645 will round down to 8.64.
The boundaries of values that round to 8.64 are ...
8.635 ≤ x < 8.645
A. -2(x-x-2)
you’re welcome
