Three iron balls of radius 5 cm, 4 cm and 3 cm respectively are melted

1.	Three iron balls of radius 5 cm, 4 cm and 3 cm respectively are melted and recasted into a bigger iron ball of radius x cm. Find the value of x.1. 9 cm2. 8 cm3. 7 cm4. 6 cm
Answer» Correct Answer - Option 4 : 6 cm Given: Radius of three iron balls are 5 cm, 4 cm and 3 cm. Radius of bigger iron ball = x cm Formula: Volume of sphere = (4 / 3) × πr³ Calculation: According to the question (4 / 3) × π × x³ = (4 / 3) × π × [5³ + 4³ + 3³] ⇒ x³ = 125 + 64 + 27 ⇒ x³ = 216 ∴ x = 6 cm

Three iron balls of radius 5 cm, 4 cm and 3 cm respectively are melted and recasted into a bigger iron ball of radius x cm. Find the value of x.1. 9 cm2. 8 cm3. 7 cm4. 6 cm

Answer» Correct Answer - Option 4 : 6 cm

Given:

Radius of three iron balls are 5 cm, 4 cm and 3 cm.

Radius of bigger iron ball = x cm

Formula:

Volume of sphere = (4 / 3) × πr³

Calculation:

According to the question

(4 / 3) × π × x³ = (4 / 3) × π × [5³ + 4³ + 3³]

⇒ x³ = 125 + 64 + 27

⇒ x³ = 216

∴ x = 6 cm

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Three iron balls of radius 5 cm, 4 cm and 3 cm respectively are melted and recasted into a bigger iron ball of radius x cm. Find the value of x.1. 9 cm2. 8 cm3. 7 cm4. 6 cm

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