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First solution in Clear category for Humpty Dumpty Form by TurboProNiszczyciel
from math import pi, asin, atanh, sqrt
def volume(height, width):
a = width / 2.0
c = height / 2.0
return round(pi * 4.0 / 3 * a * a * c, 2)
def surface_area(height, width):
a = width / 2.0
c = height / 2.0
if c == a:
return round(4 * pi * a * a, 2)
if c < a:
e2 = 1 - c * c / a / a
return round(2 * pi * a * a * (1 + (1 - e2) / sqrt(e2) * atanh(sqrt(e2))), 2)
else:
e2 = 1 - a * a / c / c
return round(2 * pi * a * a * (1 + c / a / sqrt(e2) * asin(sqrt(e2))),
2)
def checkio(height, width):
return [volume(height, width), surface_area(height, width)]
#These "asserts" using only for self-checking and not necessary for auto-testing
if __name__ == '__main__':
assert checkio(4, 2) == [8.38, 21.48], "Prolate spheroid"
assert checkio(2, 2) == [4.19, 12.57], "Sphere"
assert checkio(2, 4) == [16.76, 34.69], "Oblate spheroid"
Dec. 18, 2017
