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

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

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Philomena 4 years 2021-07-16T18:57:55+00:00 1 Answers 13 views 0

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  1. Ladonna
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    2021-07-16T18:59:25+00:00
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    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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