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The centre of gravity of a right circular solid cone is at a distance of __________ from its base, measured along the vertical axis.(where h = Height of a right circular solid cone.)
  • a)
    h/2
  • b)
    h/3
  • c)
    h/4
  • d)
    h/6
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The centre of gravity of a right circular solid cone is at a distance ...
The Centre of Gravity of a Right Circular Solid Cone

The centre of gravity of a right circular solid cone is the point where the entire weight of the cone can be considered to be concentrated. It is also known as the centroid or the centre of mass.

Formula for the Centre of Gravity of a Right Circular Solid Cone

The formula for calculating the centre of gravity of a right circular solid cone is:

CG = (h/4) from the base of the cone, measured along the vertical axis.

Where:
CG = Centre of gravity
h = Height of the cone

The Calculation

The centre of gravity of a right circular solid cone can be calculated using the following steps:

Step 1: Divide the cone into small, equally sized vertical slices.

Step 2: Find the centroid of each slice.

Step 3: Add up the moments of each slice about the base of the cone.

Step 4: Divide the total moment by the total weight of the cone to find the distance from the base of the cone to the centre of gravity.

Using this method, we can derive the formula for the centre of gravity of a right circular solid cone as (h/4) from the base of the cone, measured along the vertical axis.

Conclusion

Therefore, the correct answer to the given question is option C, h/4.
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Community Answer
The centre of gravity of a right circular solid cone is at a distance ...
H/4
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The centre of gravity of a right circular solid cone is at a distance of __________ from its base, measured along the vertical axis.(where h = Height of a right circular solid cone.)a)h/2b)h/3c)h/4d)h/6Correct answer is option 'C'. Can you explain this answer?
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