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Question

Question: The centre of mass of a solid hemisphere of radius 8 cm is X cm from the centre of the flat surface....

The centre of mass of a solid hemisphere of radius 8 cm is X cm from the centre of the flat surface.

Then value of x is ______________.

Answer

3

Explanation

Solution

The position of the centre of mass of a solid hemisphere of radius R from the centre of its flat surface (base) is given by the formula: x=3R8x = \frac{3R}{8}

Given radius of the hemisphere, R = 8 cm.

Substitute the value of R into the formula: x=3×88x = \frac{3 \times 8}{8} x=3x = 3 cm

Thus, the centre of mass is 3 cm from the centre of the flat surface.