# Spherical cap

From the sphere of radius 13 was truncated spherical cap. Its height is 6. What part of the volume is spherical cap from whole sphere?

Correct result:

x =  13.5 %

#### Solution:

$\rho^2 = 13^2 - (13-6)^2 = 120 \ \\ V_1 = \dfrac{ \pi\cdot 6}{6} (3\cdot \rho^2+6^2) = 1244.07 \ \\ V_2 = \dfrac{ 4 \pi}{3} 13^3 = 9202.77 \ \\ \ \\ x = \dfrac{ V_1}{ V_2} \ \\ x=13.5 \%$ Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

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