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anonymous
 3 years 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
anonymous
 3 years 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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anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1368065262840:dw

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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0what is the formula for area of a sphere?

anonymous
 3 years 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 :)

anonymous
 3 years 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

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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0me to n the surface area they gave me is 243pi squared

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0then do i do SA=1/24pir^2

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

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

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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0so is the volume 253.5??

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

e.mccormick
 3 years 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
 3 years 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
 3 years ago
Best ResponseYou've already chosen the best response.0This is the volume 356.19

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