Given a right circular cylinder of height , & radius . The task is to find the length of the longest rod that can be inserted within it.
Input : h = 4, r = 1.5 Output : 5 Input : h= 12, r = 2.5 Output : 13
From the figure, it is clear that we can get the length of the rod by using pythagoras theorem, by treating the height of cylinder as perpendicular, diameter as base and length of rod as hypotenuse.
So, l2 = h2 + 4*r2.
l = √(h2 + 4*r2)
Below is the implementation of the above approach:
# Python 3 Program to find the longest
# rod that can be fit within a right
# circular cylinder
# Function to find the side of the cube
def rod(h, r):
# height and radius cannot
# be negative
if (h < 0 and r < 0): return -1 # length of rod l = (math.sqrt(math.pow(h, 2) + 4 * math.pow(r, 2))) return float(l) # Driver code h , r = 4, 1.5 print(rod(h, r)) # This code is contributed # by PrinciRaj1992 [tabby title="C#"]
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