Geometric Modeling help?

Question

1051 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-04-24T16:55:58

$13500 c m^{3}$ $color(blue)(13500cm^3$

The surface area of a sphere is given by:

$A = 4 π r^{2}$ $A=4pir^2$

The volume of a sphere is given by:

$V = \frac{4}{3} π r^{3}$ $V=4/3pir^3$

We know the surface area and this was found approximating $π \approx 3$ $pi~~3$

$:.$

$4(3)r^2=2700$

$r^2=2700/12=225$

$r=sqrt(225)=15$

Now we know the radius we use the formula for volume, with $pi~~3$

$4/3(3)(15)^3=13500cm^3$