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:
- Largest right circular cylinder within a cube
- Largest right circular cylinder within a frustum
- Volume of biggest sphere within a right circular cylinder
- Largest right circular cylinder that can be inscribed within a cone
- Largest cube that can be inscribed within a right circular cylinder
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- Largest right circular cylinder that can be inscribed within a cone which is in turn inscribed within a cube
- Largest sphere that can be inscribed in a right circular cylinder inscribed in a frustum
- Smallest Integer to be inserted to have equal sums
- Find the perimeter of a cylinder
- Percentage increase in the cylinder if the height is increased by given percentage but radius remains constant
- Calculate Volume, Curved Surface Area and Total Surface Area Of Cylinder
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- Area of a Circular Sector
- Check whether a number is circular prime or not
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