The surface area of cylinder is 8.625
, if the cylinder has 5 centimeters high and 1.5 cm of diameter.
Step-by-step explanation:
The given is,
Cylinder has a 5 centimeters height
Diameter of the cylinder is 1.5 centimeters
Step:1
Formula for the surface area of cylinder is,
......................................(1)
Where,
h - Height of cylinder
r - Radius of cylinder
From the values of h and r,
= 
r = 0.75 cm
From the formula,
= ( 2 × × 0.75 × 5 ) + ( 2 × × 
)
= ( 7.5 ) + ( 1.125 )
A = 8.625
Result:
The surface area of cylinder is 8.625 , if the cylinder has 5 centimeters high and 1.5 cm of diameter.
part A
if the paperbacks are 40% less, that means 100% - 40% = 60%, they actually are 60% of the price of the hardcover ones.
part B
so, if they return it, they get 1/3 credit, if they try to sell it, is half off, which is more than 1/3. 22 got damaged.
![\bf \stackrel{\textit{damaged books at half-price}}{(22\cdot 14.994)\cfrac{1}{2}\implies 164.934}~\hfill \stackrel{\textit{damaged books at one-third price}}{(22\cdot 14.994)\cfrac{1}{3}\implies 109.956} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill 164.934 - 109.956 = 54.978~\hfill](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7B%5Ctextit%7Bdamaged%20books%20at%20half-price%7D%7D%7B%2822%5Ccdot%2014.994%29%5Ccfrac%7B1%7D%7B2%7D%5Cimplies%20164.934%7D~%5Chfill%20%5Cstackrel%7B%5Ctextit%7Bdamaged%20books%20at%20one-third%20price%7D%7D%7B%2822%5Ccdot%2014.994%29%5Ccfrac%7B1%7D%7B3%7D%5Cimplies%20109.956%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20~%5Chfill%20164.934%20-%20109.956%20%3D%2054.978~%5Chfill)
part C
![\bf \textit{First Day}~\hfill \stackrel{hardcover}{3(24.99)}+\stackrel{paperback}{8(14.994)}+\stackrel{damaged}{3\left( 14.994\cdot \frac{1}{2} \right)} \implies 217.413 \\\\\\ \textit{Second Day}~\hfill \stackrel{hardcover}{4(24.99)}+\stackrel{paperback}{5(14.994)}+\stackrel{damaged}{8\left( 14.994\cdot \frac{1}{2} \right)}\implies 234.906 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \boxed{17.493}](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7BFirst%20Day%7D~%5Chfill%20%5Cstackrel%7Bhardcover%7D%7B3%2824.99%29%7D%2B%5Cstackrel%7Bpaperback%7D%7B8%2814.994%29%7D%2B%5Cstackrel%7Bdamaged%7D%7B3%5Cleft%28%2014.994%5Ccdot%20%5Cfrac%7B1%7D%7B2%7D%20%5Cright%29%7D%20%5Cimplies%20217.413%20%5C%5C%5C%5C%5C%5C%20%5Ctextit%7BSecond%20Day%7D~%5Chfill%20%5Cstackrel%7Bhardcover%7D%7B4%2824.99%29%7D%2B%5Cstackrel%7Bpaperback%7D%7B5%2814.994%29%7D%2B%5Cstackrel%7Bdamaged%7D%7B8%5Cleft%28%2014.994%5Ccdot%20%5Cfrac%7B1%7D%7B2%7D%20%5Cright%29%7D%5Cimplies%20234.906%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%20~%5Chfill%20%5Cboxed%7B17.493%7D)
I don't think she is incorrect, $17.5 is close to $20, she didn't say it was exactly $20, just thereabouts, and 17.5 is around that much.
Answer:
94 cm^2
Step-by-step explanation:
The surface area of a rectangular prism can be found using:
A=2(wl+hl+hw)
We know the width is 3, the height is 5, and the length is 4. We can substitute 3 in for w, 5 in for h, and 4 in for l.
A=2((3*4)+(5*4)+(5*3))
Multiply 3 and 4
A=2(12+(5*4)+(5*3))
Multiply 5 and 4
A=2(12+20+(5*3))
Multiply 5 and 3
A=2(12+20+15)
Add 12 and 20 and 15
A=2(47)
Multiply 2 and 47
A=94
So, the the surface area is 94 cm^2
