Question

The diameter of a solid sphere is 6 cm. It is melted and recast into a solid cylindrical of height 4 cm. Find the radius​

Answer 1

Answer:

Radius of the cylinder = 3cm

Step-by-step explanation:

Sᴘʜᴇʀᴇ

• Diameter = 6cm
• Radius = 3cm

Cʏʟɪɴᴅᴇʀ

• Height = 4cm
• Radius = ?

Volume of sphere = Volume of cylinder

⇒ 4/3 πr³ = πR²h

⇒ 4/3 (3)³ = R²(4)

⇒ 3² = R²

⇒ R = 3cm

Hence, Radius of the cylinder = 3cm

Answer 2

Answer:

Radius of the cylinder = 3cm

Step-by-step explanation:

Sᴘʜᴇʀᴇ

• Diameter = 6cm
• Radius = 3cm

Cʏʟɪɴᴅᴇʀ

• Height = 4cm
• Radius = ?

Volume of sphere = Volume of cylinder

⇒ 4/3 πr³ = πR²h

⇒ 4/3 (3)³ = R²(4)

⇒ 3² = R²

⇒ R = 3cm

Hence, Radius of the cylinder = 3cm