SOLUTION: I have a question that says the volumes of two spheres are 327pi mm cubed and 829pi mm cubed. What is the ratio of their surface areas?
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Question 307027: I have a question that says the volumes of two spheres are 327pi mm cubed and 829pi mm cubed. What is the ratio of their surface areas? Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! volumes of two spheres are 327pi mm cubed and 829pi mm cubed. What is the ratio of their surface areas?
4/3 *pi^r^3= 327*pi
r^3= 3*327/4
r^3=981/4
r= cuberoot 981/4
6.26 mm
surface area = 4*pi*r^2
4*pi*(6.26)^2
.
4/3 *pi*r^3= 829 *pi
r^3= 2487/4
r=8.54 mm
surface area = 4*pi^(8.54)^2
Their ratio = 4*pi*(6.26)^2 / 4*pi^(8.54)^2
Ratio of surface areas = 0.73
