Question

A frustum of a cone shaped Jaggery is melted and remoulded completely to the shape of a sphere. Then the volume of the sphere is A) 3 times the volume of the frustum B) 2 times the volume of the frustum C) half the volume of the frustum D) equal to the volume of the frustum​

Answer 1

Given :- A frustum of a cone shaped Jaggery is melted and remoulded completely to the shape of a sphere. Then the volume of the sphere is :-

A) 3 times the volume of the frustum

B) 2 times the volume of the frustum

C) half the volume of the frustum

D) equal to the volume of the frustum

Solution :-

we know that, when a solid is melted and recast into another solid ,

• Their volume remains same .

given that, a frustum of a cone shaped Jaggery is melted and remoulded completely to the shape of a sphere .

then,

→ Volume of frustum of cone = Volume of sphere .

therefore,

→ Volume of sphere = Volume of frustum of cone .

Volume of sphere formed is equal to the volume of frustum .

Hence, Option (D) is correct answer .

Extra :-

→ Volume of frustum of cone = (1/3)πh{R² + r² + R*r] where h is height , R is Base radius and r is top radius .

→ Volume of sphere = (4/3) * π * (radius)³ .

Learn more :-

what is the volume of hemisphere when a sphere is 64 cm³ is melted

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Answer 2

Answer:

the volume remains the same

Step-by-step explanation:

option D