SOLUTION: ( the radius of the cylinder is 10 ft and its altitude measures 24 ft) If 1 gallon of paint covers 300 ft2, how many gallons are needed to paint the surface if it requires three

Algebra ->  Coordinate-system -> SOLUTION: ( the radius of the cylinder is 10 ft and its altitude measures 24 ft) If 1 gallon of paint covers 300 ft2, how many gallons are needed to paint the surface if it requires three      Log On


   

Question 157700: ( the radius of the cylinder is 10 ft and its altitude measures 24 ft)
If 1 gallon of paint covers 300 ft2, how many gallons are needed to paint the surface if it requires three coats?
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!
Let's see the Area%5Bcyl%5D=2%28pi%29r%5E2%2B2%28pi%29%28r%29%28h%29
r=10ft, h=24ft
A%5Bcyl%5D=2%28pi%2910%5E2%2B2%28pi%29%2810%29%2824%29
A%5Bcyl%5D=200%28pi%29%2B480%28pi%29
A%5Bcyl%5D=680%28pi%29ft%5E2, TOTAL SURFACE AREA to be painted
No. of gallon in 1 coat:
%28680%28pi%29cross%28ft%5E2%29%29%281gal%2F300cross%28ft%5E2%29%29
7.121gal ------> 1 coat
Since 3 coats: 7.121gal%2A3=21.36gal -----> for 3 coats
: USE 22+GAL PAINT
Thank you,
Jojo