Question

A Cone of height 24 cm and radius of base 6 cm is made up of modelling clay. A child reshape it in the form of a sphere. Find the radius of sphere.

Answer 1

Answer:

6 cm

Step-by-step explanation:

Given:

Height of cone = 24 cm.

Radius of cone = 6 cm.

∴ Volume of cone = Volume of sphere

⇒ (1/3)πr²h = (4/3)πR³

⇒ r²h = 4R³

⇒ (6)² * 24 = 4 * R³

⇒ 864 = 4 * R³

⇒ R³ = 216

⇒ R = ∛216

⇒ R = 6.

Therefore, Radius of sphere = 6 cm.

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Answer 2

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