anonymous
  • anonymous
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
Mathematics
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SOLVED
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
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anonymous
  • anonymous
@e.mccormick @timo86m @knock @mathslover think one of u could help me out plezz :)
anonymous
  • anonymous
what is the formula for area of a sphere?

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anonymous
  • anonymous
v=4/3pir^3
anonymous
  • anonymous
it's A=4*Pi*r^2 but you want half so 2pi r^2=A solve for r :)
anonymous
  • anonymous
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
anonymous
  • anonymous
I think you should include the surface of the circular base, doesn't?
anonymous
  • anonymous
i get like 19.5
anonymous
  • anonymous
me to n the surface area they gave me is 243pi squared
anonymous
  • anonymous
then do i do SA=1/24pir^2
anonymous
  • anonymous
and v=1/2pi cubed
e.mccormick
  • e.mccormick
Did you remember the base in the surface area formula?
anonymous
  • anonymous
is it S=B+1/2Cl=pir squared+pirl
razor99
  • razor99
@ heather the volume of a hemisphere is 2/3 pi r^2
anonymous
  • anonymous
volume=253.5??
razor99
  • razor99
I mean the formulae
anonymous
  • anonymous
so is the volume 253.5??
razor99
  • razor99
me?
anonymous
  • anonymous
ya ig
razor99
  • razor99
I guess so
e.mccormick
  • e.mccormick
I got a very different number.
e.mccormick
  • e.mccormick
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?
razor99
  • razor99
To radius I get 4.39 so when it get round off to 2 decimal its 4.40
razor99
  • razor99
This is the volume 356.19
e.mccormick
  • e.mccormick
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.
e.mccormick
  • e.mccormick
@razor99 r=4.39? How?

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