katiemayfield4226 katiemayfield4226
  • 01-05-2017
  • Mathematics
contestada

find the volume in terms of pi of a sphere with a surface area of 9 pi square feet

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Arnold11
Arnold11 Arnold11
  • 08-05-2017
So we want to know the volume of a sphere in terms of pi if we know the area of the sphere is equal to A=9pi. So the area of the sphere is A=4*pi*r^2 and the volume V=(4/3)*pi*r^3. We can get the radius from the area: 9pi=4*pi*r^2 and we see the pi cancels out: 9=4*r^2. We divide by 4 and take the square root: r=sqrt(9/4)=3/2. So r=3/2 and we can input it into volume V.

V=(4/3)*(3/2)^3*pi=(4/3)*(27/8)*pi=(9/4)*pi. 

So the volume of the sphere is V=(9/4)*pi cubic feet.
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pikarissa pikarissa
  • 13-04-2019

Answer:

Step-by-step explanation:

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