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 one year ago
Help! I give medals:) pic below
Find the volume.A hemispherical tank has a total surface area of 243pi squared(this includes the circular base area).Show work
 one year ago
Help! I give medals:) pic below Find the volume.A hemispherical tank has a total surface area of 243pi squared(this includes the circular base area).Show work

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heather040200
 one year ago
Best ResponseYou've already chosen the best response.0dw:1368065262840:dw

heather040200
 one year ago
Best ResponseYou've already chosen the best response.0@e.mccormick @timo86m @knock @mathslover think one of u could help me out plezz :)

timo86m
 one year ago
Best ResponseYou've already chosen the best response.0what is the formula for area of a sphere?

timo86m
 one year ago
Best ResponseYou've already chosen the best response.0it's A=4*Pi*r^2 but you want half so 2pi r^2=A solve for r :)

timo86m
 one year ago
Best ResponseYou've already chosen the best response.02pi r^2=A A/(2 pi)=r^2 divide both sides by 2pi sqrt(A/(2 pi))=r take sqrt of both sides plug in the area in A :) sqrt((243*pi^2)/(2 * pi))=r

knock
 one year ago
Best ResponseYou've already chosen the best response.0I think you should include the surface of the circular base, doesn't?

heather040200
 one year ago
Best ResponseYou've already chosen the best response.0me to n the surface area they gave me is 243pi squared

heather040200
 one year ago
Best ResponseYou've already chosen the best response.0then do i do SA=1/24pir^2

heather040200
 one year ago
Best ResponseYou've already chosen the best response.0and v=1/2pi cubed

e.mccormick
 one year ago
Best ResponseYou've already chosen the best response.1Did you remember the base in the surface area formula?

heather040200
 one year ago
Best ResponseYou've already chosen the best response.0is it S=B+1/2Cl=pir squared+pirl

razor99
 one year ago
Best ResponseYou've already chosen the best response.0@ heather the volume of a hemisphere is 2/3 pi r^2

heather040200
 one year ago
Best ResponseYou've already chosen the best response.0so is the volume 253.5??

e.mccormick
 one year ago
Best ResponseYou've already chosen the best response.1I got a very different number.

e.mccormick
 one year ago
Best ResponseYou've already chosen the best response.1Find the volume. A hemispherical tank has a total surface area of 243pi squared (this includes the circular base area). Show work Therefore: Half SA of Sphere + A of base = 243 SA Sphere = \(4\pi r^2\) A of Circle = \(\pi r^2\) \[\frac{1}{2}4\pi r^2+\pi r^2=243\\ \implies 3\pi r^2=243\\ \implies \pi r^2=81\\ \implies r^2=\frac{81}{\pi}\\ \implies r=\frac{9}{\sqrt{\pi}}\] Did you follow that for finding the radius?

razor99
 one year ago
Best ResponseYou've already chosen the best response.0To radius I get 4.39 so when it get round off to 2 decimal its 4.40

razor99
 one year ago
Best ResponseYou've already chosen the best response.0This is the volume 356.19

e.mccormick
 one year ago
Best ResponseYou've already chosen the best response.1Or just leave it with the root of pi since that will partially cancel in the next step when doing area. Always save constant conversion until the last step for greater accuracy.

e.mccormick
 one year ago
Best ResponseYou've already chosen the best response.1@razor99 r=4.39? How?
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