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.

Correct result:

r =  113.6 cm

Solution:

r=853+63+593+863+203+7.63+8.13+2.53+1.93+1433=113.6 cmr = \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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