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Leno4ka [110]
3 years ago
14

3 spheres of diameter 6cm,8cm and 10cm are melted to form a single sphere .find the diameter of the sphere.

Mathematics
1 answer:
julia-pushkina [17]3 years ago
4 0

Answer:

Step-by-step explanation:

6/2=3 cm is the radius V(4/3πr³) = 4/3.π.27…(1)

8/2= 4 cm is the radius and V = 4/3.π.64…..(2)

10/2=5 cm is the radius and V = 4/3.π.125…(3)

The Total Volume is the addition of (1)+(2)+(3) or 4/3π (27+64+125) or New volume is 4/3.π.(216) cm³ and therefore...

The radius of the New Solid Sphere is Cube Root of 216 (r³) = √6.6.6 or r = 6 cm and the diameter is 6.2 = 12 cms.

12 cms answer. Brainlist please?

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