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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
 11 months ago
 11 months 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
 11 months ago
 11 months ago

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heather040200Best ResponseYou've already chosen the best response.0
dw:1368065262840:dw
 11 months ago

heather040200Best ResponseYou've already chosen the best response.0
@e.mccormick @timo86m @knock @mathslover think one of u could help me out plezz :)
 11 months ago

timo86mBest ResponseYou've already chosen the best response.0
what is the formula for area of a sphere?
 11 months ago

timo86mBest ResponseYou've already chosen the best response.0
it's A=4*Pi*r^2 but you want half so 2pi r^2=A solve for r :)
 11 months ago

timo86mBest ResponseYou've already chosen the best response.0
2pi 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
 11 months ago

knockBest ResponseYou've already chosen the best response.0
I think you should include the surface of the circular base, doesn't?
 11 months ago

heather040200Best ResponseYou've already chosen the best response.0
me to n the surface area they gave me is 243pi squared
 11 months ago

heather040200Best ResponseYou've already chosen the best response.0
then do i do SA=1/24pir^2
 11 months ago

heather040200Best ResponseYou've already chosen the best response.0
and v=1/2pi cubed
 11 months ago

e.mccormickBest ResponseYou've already chosen the best response.1
Did you remember the base in the surface area formula?
 11 months ago

heather040200Best ResponseYou've already chosen the best response.0
is it S=B+1/2Cl=pir squared+pirl
 11 months ago

razor99Best ResponseYou've already chosen the best response.0
@ heather the volume of a hemisphere is 2/3 pi r^2
 11 months ago

heather040200Best ResponseYou've already chosen the best response.0
so is the volume 253.5??
 11 months ago

e.mccormickBest ResponseYou've already chosen the best response.1
I got a very different number.
 11 months ago

e.mccormickBest ResponseYou've already chosen the best response.1
Find 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?
 11 months ago

razor99Best ResponseYou've already chosen the best response.0
To radius I get 4.39 so when it get round off to 2 decimal its 4.40
 11 months ago

razor99Best ResponseYou've already chosen the best response.0
This is the volume 356.19
 11 months ago

e.mccormickBest ResponseYou've already chosen the best response.1
Or 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.
 11 months ago

e.mccormickBest ResponseYou've already chosen the best response.1
@razor99 r=4.39? How?
 11 months ago
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