Question

A shell with a radius of 3cm radius was melted and three small balls made, whose radiuses are 2cm, 1.5cm and xcm respectively, then tell the value of x​

Answer 1

Answer:

Step-by-step explanation:

Radius of ball which is melted = 3cm

Radius of first formed ball = 1.5 cm

Radius of second formed ball = 2 cm

Let Radius of third formed ball = r cm

Volume of large ball = sum of volume of 3 formed balls

⇒4π/3 × 3³ = 4π/3(1.5³ + 2³ + r³)

⇒ 3³ =1.5³ + 2³ + r³

⇒ 27 = 3.375 + 8 + r³

⇒ r³ = 27 - 8 - 3.375 = 15.625

⇒ r = ∛15.625

⇒ r = 2.5cm

∴Radius of third ball is 2.5cm

Hope this helps