Question

How many balls each of radius 1cm can be made by melting a bigger ball whose diameter is 18cm?​

Answer 1

Answer: 729

I hope this will help you.

Answer 2

Answer :-

Number of balls are 729.

Step-by-step explanation:

To Find :-

• Number of balls.

Given that,

• Radius of smaller ball = 1cm
• Diameter of bigger ball = 18cm

∴ The radius of bigger ball :-

⇒ Diameter / 2

⇒ 18/2

⇒ 9cm

Now, Volume of smaller sphere and bigger sphere,

We know,

• Volume of sphere = (4/3)πr³ cubic units.

Volume of smaller sphere :-

⇒ (4/3)πr³

⇒ (4/3)π × (1)³

⇒ (4/3)π × 1 × 1 × 1

⇒ (4/3)π × 1

⇒ (4*1/3)π

⇒ (4/3)π

Volume of bigger sphere :-

⇒ (4/3)πr³

⇒ (4/3)π × (9)³

⇒ (4/3)π × 9 × 9 × 9

⇒ (4/3)π × 729

⇒ (4*729/3)π

⇒ (2916/3)π

⇒ 972π

∴ According the question,

Number of balls = Volume of bigger sphere ÷ Volume of smaller sphere,

⇒ 972π ÷ (4/3)π

⇒ 972 ÷ (4/3)

⇒ 972 × 3/4

⇒ 2916/4

⇒ 729

Hence, The total number of balls is 729.