Plasticine ball

Plasticine balls have radius r₁=85 cm, r₂=60 mm, r₃=59 cm, r₄=86 cm, r₅=20 cm, r₆=76 mm, r₇=81 mm, r₈=25 mm, r₉=19 mm, r₁₀=14 cm. For these balls are molded one big ball. Calculate the radius r of the resulting ball.

Result

r =  113.6 cm

Solution:

$r = \sqrt[3]{ { 85}^3+{ 6}^3+{ 59}^3+{ 86}^3+{ 20}^3+{ 7.6}^3+{ 8.1}^3+{ 2.5}^3+{ 1.9}^3+{ 14}^3} = 113.6 \ \text { cm }$

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