Question

The outer diameter of a spherical shell is 10 cm and the inner diameter is 9 cm. Find the
volume of the metal contained in the shell.​

Answer 1

Answer:

Step-by-step explanation:

V = 4/3π (5³- (4.5)³)

= 4/3π*(125-91.125)

= 4/3*π* 33.875

= 135.5π/3

= 141.82 (approx)

Answer 2

Answer:

The formula for volume of sphere= 4 πr³

3

outer volume = 4 π(5) ³

3

inner volume= 4 π (4.5) ³

3

Step-by-step explanation:

volume of metal = outer volume - inner volume

= 4 π (5) ³ - 4 π(4.5)³

3 3

take 4 π as common

3

= 4 × 22 { (5) ³- (4.5) ³}

3 7

= 4 × 22{125- 91.125}

3 7

= 4 × 22 {33.875}

3 7

==141.88cm³