SOLUTION: the volume of a sphere with radius is given by the formula V=4/3pircube and the surface area is given by the formula S=4pirsquared.If S=100pi,find V.(use pi=3.24)

Algebra ->  Pythagorean-theorem -> SOLUTION: the volume of a sphere with radius is given by the formula V=4/3pircube and the surface area is given by the formula S=4pirsquared.If S=100pi,find V.(use pi=3.24)       Log On


   



Question 659791: the volume of a sphere with radius is given by the formula V=4/3pircube and the surface area is given by the formula S=4pirsquared.If S=100pi,find V.(use pi=3.24)

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

V=%284%2F3%29pi%2Ar%5E3 and
S=4%2Api%2Ar%5E2
If S=100%2Api,
find V..........pi=3.14, not 3.24
______________________
If S=100%2Api...=> 4r%5E2=100..=> r%5E2=100%2F4.=> r%5E2=25.=> r=5, plug it in V

V=%284%2F3%29pi%2A5%5E3
V=%284%2F3%293.14%2A125
V=%284%2F3%29392.5
V=%281.33%29392.5
V=522.025