Question

A sphere of diameter 112.6 cm is melted and cast into a right circular cone of height 25.2 cm. Find the diameter of the base of the cone.​

Answer 1

★ Correct Question :

A sphere of diameter 12.6 cm is melted and cast into a right circular cone of height 25.2 cm. Find the diameter of the base of the cone.

★ Given :

A sphere of diameter 112.6 cm is melted and cast into a right circular cone of height 25.2 cm.

★ To Find :

The Diameter of the base of the cone.

★ Solution :

⚘Diameter of Sphere = 12.6 cm

⚘Radius of Sphere = 12.6/2 = 6.3 cm

We know that,

⚘Volume of Sphere = Volume of Cone

➞ 4/3πr³ = 1/3hπr²

➞ 4/3 × 22/7 × 6.3 × 6.3 × 6.3 = 1/3 × 22/7

× 25.2 × r²

➞ r² = 6.3 × 6.3

➞ r = 6.3 cm.

⚘Diameter = 6.3 × 2

= 12.6 cm.

∴

The Diameter of Base of cone is 12.6cm

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