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Description

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https://www.codewars.com/kata/tank-truck

import math

tankvol(h, d, vt)

def tankvol(h, d, vt):
output = 0

R = d / 2
height_cyllinder = vt / (math.pi * (R ** 2))

alpha_rad = 2 * math.acos((R - h) / R)

sector_area = (alpha_rad * (R ** 2)) / 2

triangle_base = math.sqrt(R ** 2 - ((R - h) ** 2))

p = ((R * 2 + triangle_base) / 2)

triangle_area = math.sqrt(p * (p - R) * (p - R) * (p - triangle_base))

output = (sector_area - triangle_area) * height_cyllinder

print(output)

return output

should return 1750

tankvol(h=60, d=120, vt=3500)

tankvol(60,120,3500) # should return 1750
tankvol(40,120,3500) # should return 1021
tankvol(80,120,3500) # should return 2478

https://planetcalc.ru/762/

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Mathematics
Geometry