Answer :

- Radius of the cone = r = 5 cm

Height of the cone = h = 20 cm

Let R be the radius of the sphere.

Since Volume of a solid remains unchanged if transformed from one shape to other.

∴ Volume of cone = Volume of sphere

πr^{2}h = πR^{3}

⇒ r^{2}h = 4R^{3}

⇒ (25 × 20)/4 = R^{3}

⇒ R^{3} = 125

⇒ R = 5

∴ R = 5 cm.

Thus, diameter of the sphere = 5 × 2 = 10 cm.

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