To introduce the problem think to my neighbor who drives a tanker truck. 
The level indicator is down and he is worried
because he does not know if he will be able to make deliveries. 
We put the truck on a horizontal ground and measured the height of the liquid in the tank.

Fortunately the tank is a perfect cylinder and the vertical walls on each end are flat.
The height of the remaining liquid is `h`, the diameter of the cylinder is `d`,
the total volume is `vt` (h, d, vt are positive or null integers). 
You can assume that `h` <= `d`.

Could you calculate the remaining volume of the liquid?
Your function `tankvol(h, d, vt)` returns an integer which is the truncated result (e.g floor)
of your float calculation.

Examples:

```
tankvol(40,120,3500) should return 1021 (calculation gives about: 1021.26992027)

tankvol(60,120,3500) should return 1750

tankvol(80,120,3500) should return 2478 (calculation gives about: 2478.73007973)
```

Tank vertical section:

![alternative text](http://i.imgur.com/wmt0U43.png)

```python

USER_FILENAME = "<user_code>"
import sys, json, builtins
import math, heapq, bisect, itertools, functools, collections, statistics, fractions, decimal, operator, array, random, re, string, os, pathlib
try:
    import resource as _res
except Exception:
    _res = None
from collections import Counter, defaultdict, deque, OrderedDict
from functools import lru_cache, reduce
from itertools import accumulate, permutations, combinations, product
from math import gcd, ceil, floor, sqrt
from decimal import Decimal
try:
    from typing import *
except Exception:
    pass
try:
    sys.setrecursionlimit(1_000_000)
except Exception:
    pass
try:
    import site as _site
    try:
        _sys_sites = _site.getsitepackages() if hasattr(_site, "getsitepackages") else []
        for _p in _sys_sites:
            if _p and _p not in sys.path:
                sys.path.append(_p)
    except Exception:
        pass
    try:
        _usp = _site.getusersitepackages()
        if isinstance(_usp, str):
            _usp = [_usp]
        for _p in _usp:
            if _p and _p not in sys.path:
                sys.path.append(_p)
    except Exception:
        pass
except Exception:
    pass

def _disabled_input(*args, **kwargs):
    raise RuntimeError("input() is disabled in callable mode")
builtins.input = _disabled_input

ns = {"__name__": "__judge__"}  # prevent if __name__ == "__main__" blocks
for _k, _v in list(globals().items()):
    if not _k.startswith("_"):
        ns[_k] = _v
_CODE = 'import math\ndef tankvol(h, d, vt):\n    r = d/2.0\n    if h == r: return vt/2     # is the tank half full?\n    half = h>r                 # is it more than half full\n    h = d-h if half else h     # adjust h accordingly\n    a = r-h                    # perpendicular intercept of the chord\n    b = math.sqrt(r**2-a**2)   # half the chord\n    t = 2*math.asin(b/r)       # the angle the chord sweeps out\n    A = r**2*t/2 - b*a         # the area of the segment\n    v = vt*A/(math.pi*r**2)    # the volume of the segment\n    return int(vt-v) if half else int(v)\n    \n'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'tankvol'
if _fn_name:
    if "Solution" in ns:
        try:
            _obj = ns["Solution"]()
            if hasattr(_obj, _fn_name):
                _target = getattr(_obj, _fn_name)
        except Exception:
            _target = None
    if _target is None and _fn_name in ns and callable(ns[_fn_name]):
        _target = ns[_fn_name]
# Fallback: if there's exactly one user-defined function, use it
if _target is None:
    _cands = [v for k, v in ns.items() if callable(v) and getattr(v, "__module__", "") in ("__judge__", "__main__")]
    _user_funcs = [c for c in _cands if getattr(c, "__name__", "").startswith("_") is False]
    if len(_user_funcs) == 1:
        _target = _user_funcs[0]
if _target is None:
    raise RuntimeError(f"Could not resolve callable '{_fn_name}'")

_raw = sys.stdin.read().strip()
if _raw:
    _parsed = json.loads(_raw)
    if isinstance(_parsed, dict):
        _kwargs = _parsed.get("kwargs", {})
        _args = _parsed.get("args", [])
    else:
        _args, _kwargs = _parsed, {}
else:
    _args, _kwargs = [], {}
if not isinstance(_args, (list, tuple)):
    _args = [_args]
_res = _target(*_args, **_kwargs)
try:
    sys.stdout.write(repr(_res) + "\n")
except Exception:
    pass

```

Measured memory_bytes: 5884