Question

By melting down 3 spherical balls of radius 6 cm, 8 cm and 10 cm one big solid
sphere is made. Calculate the radius of the new solid sphere.​

Answer 1

Answer:

Here is the solution... hope u find it helpful

Answer 2

Answer:

The radius of the new solid sphere is 12 cm

Step-by-step explanation:

Let,

Radius = r cm

Volume of 3 old sphere = volume of new sphere

★ Volume of sphere formula = 4 / 3 π r³

r₁ = 6 cm

r₂ = 8 cm

r₃ = 10 cm

So,

⇒ 4/3 π r₁³ + 4/3 π r₂³ + 4/3 π r₃³ = 4/3 π R³

⇒ ( r₁³ + r₂³ + r₃³) = R³

⇒ r₁ = 6 cm

⇒ r₂ = 8 cm

⇒ r₃ = 10 cm

⇒ 6³ + 8³ + 10³ = R³

⇒ 216 + 512 + 1000 = R³

⇒ R³ = 1728

⇒ R³ = (12)³

⇒ R = 12

Therefore,

The radius of the new solid sphere is 12 cm