Geometric Modeling help?

puu.sh

1 Answer
Apr 24, 2018

#color(blue)(13500cm^3#

Explanation:

The surface area of a sphere is given by:

#A=4pir^2#

The volume of a sphere is given by:

#V=4/3pir^3#

We know the surface area and this was found approximating #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#