Question

Two spherical pieces of cookie dough have radii of 3cm & 5cm. The pieces are combined to form one large spherical piece of dough. What is the approximate radius of the new sphere of dough? round to the nearest tenth

Answer 1

Hello,

The sum of volumes of the two spheres is

4/3*π*a³+4/3*π*b³=4/3*π*c³

c=∛(a³+b³)=∛(3³+5³)=∛152=5.336803297...≈5.34 (cm)