Question

three solid metallic spherical balls of radii 3cm 4xm and 5cm are melted into a single spjerical ball, find its radius.​

Answer 1

Answer:

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Answer 2

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Given:

Three solid metallic spherical balls of radii 3cm×4cm & 5cm are melted into a single spherical ball.

To find:

It's radius of the ball.

Explanation:

We have,

Three solid metallic spherical balls of radius;

• Radius,1= 3cm
• Radius,2= 4cm
• Radius,3= 5cm

We know that formula of the volume of sphere: $\frac{4}{3} \pi r^{3}$

→ V= V1 + V2 + V3

→ $\frac{4}{3} \pi r^{3} = \frac{4}{3} \pi \:[r^{3} 1 + r^{3} 2+r^{3} 3]$

→ $\cancel{\frac{4}{3} \pi} r^{3} =\cancel{\frac{4}{3}\pi } [r^{3} 1+r^{3} 2+r^{3} 3]$

→ r³ = [3³ + 4³ + 5³]

→ r³ = [27 + 64 + 125]

→ r³ = 216

→ r = ³√216

→ r = 6cm

Thus,

The radius of single spherical ball is 6cm.