Question

A metallic cylinder with radius 8 cm and height 2 cm is melted and recast to prepare a cone with height 6 cm. Than the radius of the cone is --------cm


Need answer with formula nd full method....

Answer 1

Volume of cylinder = Let the radius of the base of cone be R cm. then ... A cylinder with base radius 8 cm and height 2cm is melted to form a cone of height 6 cm.

Answer 2

Radius of cylinder = 8 cm
Radius of cone = ?

Height of cylinder = 2 cm
Height of cone = 6 cm

Volume of cylinder = Volume of cone

πr² h = 1/3 πr² h

22/7 × 8 × 8 × 2 = 1/3 × 22/7 × r² × 6

8 × 8 × 2 × 3 / 6 = r²

8 × 8 = r²

r = √8 × 8

r = 8 cm

Radius of cone = 8 cm

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