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Mathematics 21 Online
OpenStudy (anonymous):

If a cylindrical water tank has the dimensions shown in the figure, calculate the amount of sheet metal needed to create this tank. (Hint: Calculate the surface area of the cylinder.)

OpenStudy (anonymous):

OpenStudy (mathhelp346):

to find surface area you find the area of all the shapes

OpenStudy (mathhelp346):

hold on

OpenStudy (anonymous):

Surface = \[2\pi r( r + h )\] \[2\pi 3.5 ( 3.5 + 10) = 296.73 \]

OpenStudy (mathhelp346):

Surface of a Cylinder= Circumference*height

OpenStudy (anonymous):

it's a CLOSED cylinder :)

OpenStudy (mathhelp346):

Circumference=3.14*7 =21.98 Surface Area= 21.98*10 =219.8

OpenStudy (anonymous):

SURFACE AREA= 2 pi r h +2 pi*r^2 = 2*3.14*3.5*10 + 2*3.14*(3.5)^2 = 296.73 square meters

OpenStudy (anonymous):

it's a closed cylinder, you have to add the area of the lids

OpenStudy (anonymous):

SurfaceArea = AreaOfTop + AreaOfBottom + AreaOfSide AreaOfTop = AreaOfBottom so then: SurfaceArea = AreaOfTop + AreaOfTop + AreaOfSide = 2*AreaOfTop + AreaOfSide \[AreaOfTop = AreaOfACircle = \pi r^2 = \pi 3.5^2 \] diameter = 7 radius = 3.5 AreaOfSide = length*height height = 10 \[length = CircumferenceOfACircle = 2 \pi r = 2 \pi 3.5\]

OpenStudy (anonymous):

what

OpenStudy (anonymous):

i am sorry but i do not understand.

OpenStudy (mathhelp346):

Circumference=3.14(π)*7 =21.98 Surface Area= 21.98*10 =219.8

OpenStudy (mathhelp346):

do you understand?

OpenStudy (anonymous):

well thats not the right answer because its not an option

OpenStudy (mathhelp346):

umm then...idk

OpenStudy (anonymous):

well thank u for trying

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