Spherical cap

The spherical cap has a base radius of 8 cm and a height of 5 cm. Calculate the radius of a sphere of which this spherical cap is cut.

Correct answer:

r =  8.9 cm

Step-by-step explanation:

a=8 cm h=5 cm  r2 = a2 + (rh)2 r2 = a2 + r22rh + h2 2rh = a2 + h2  r=2 ha2+h2=2 582+52=1089 cm=8.9 cm

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