Question

A cone is 8.4 cm high and the radices of
base is 2.1cm . It is meleted and radius into a spere
spere The radius of the spere is.​

Answer 1

Hey Kunal !

Answer:

2.1 cm

Step-by-step explanation:

Given :

Height of the Cone  = 8.4 cm.

Radius of the base of the cone = 2.1 cm

Cone melted into Sphere.

Concept :

When a Object is melted into another object, The volume remains constant.

Formulae :

Volume of a Right Circular Cone = (1/3)πr²h units³, Where

• r is the radius of the Area of the base of the cone.
• h is the height of the cone.

Volume of a Uniform Sphere = (4/3)πr³ units³

• Where r is the radius.

Procedure :

As the volume remains constant,

(1/3)πr²h = (4/3)πR³

⇒ r²h = 4R³

∴ R³ = r²h/4 cm³

R³ = (2.1)² × (8.4)/4 cm³

⇒ R³ = (2.1)² × 2.1 cm³

⇒ R³ = (2.1)³ cm³

∴ R = 2.1 cm

Hence the Radius of the Sphere = 2.1 cm.

Thanks !