Question

The external and internal diameters of a spherical shell are 10 cm and 9 cm respectively. Find the volume of material used in the shell. ​

Answer 1

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$\huge\mathfrak\blue{Question:}$

The external and internal diameters of a spherical shell are 10 cm and 9 cm respectively. Find the volume of material used in the shell.

$\huge\mathfrak\red{Answer:}$

141.95 cm³

Step by step solution is in the attachment.

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Answer 2

Answer:

141.95 cm³.

Step-by-step explanation:

R = 10/2 = 5

r = 9/2 = 4.5

Volume = 4/3 (π R³ - π r³ )

= 4/3 π ( R³ - r³ )

= 4/3 π ( 5³ - 4.5³ )

= 4/3 π ( 125 - 91.125 )

= 4/3 π × 33.875

= 88/21 × 33.875

= 141.95

Hence the volume is 141.95 cm³