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Approximate radius (Geometry)

Can someone please help me in detail if two spherical
pieces of cookie dough have radii of 3cm and 5cm. The pieces are
combined to form one large spherical piece of dough. What is the approx
radius of the new sphere of dough?

Answer :

Trim
I hope that there is enough information in this answer:

Sphere Vol = 4/3Pi radius^3

Give the 4/3Pi bit a constant - 'C'
Vol = C x radius^3

V1 = C 3^3 = 27C
V2 = C 5^3 = 125C

New Volume = 27C + 125C = 152C

Aproximate radius = cube Root 152 = Approx 5.3
(5 cubed = 125, 6 cubed = 216)

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