Distance of the center of mass of a solid uniform cone from its vertex is z₀. If the radius of its base is R and its height is h then z₀ is equal to: (a) 5h/8 (b) (3h²)/(8R) (c) h²/4R (d) 3h/4

Answer: (d). For a solid cone the CM lies on the axis at h/4 from the base. Distance from vertex = h - h/4 = 3h/4 So the answer is (d) 3h/4.

Distance of the center of mass of a solid uniform cone from its… | JEE Main 2015

Q7JEE Main 2015Easy

Continuous Bodies: Standard Results & Variable Density

Distance of the center of mass of a solid uniform cone from its vertex is $z_0$ . If the radius of its base is $R$ and its height is $h$ then $z_0$ is equal to:

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Answer: (d)

For a solid cone the CM lies on the axis at $\frac{h}{4}$ from the base.
Distance from vertex $= h - \frac{h}{4} = \frac{3h}{4}$
So the answer is (d) $\frac{3h}{4}$ .

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