A hollow spherical shell is made of a metal of density 4 5 g per cm2 If tits internal - Maths - Surface Areas and Volumes

Question

A hollow spherical shell is made of a metal of density 4 5 g per
cm2 If tits internal and external radii are 8 cm & 9
cm respectively, find the weight of the shell

Ajanta Trivedi · Accepted Answer

let the internal radius of the hollow shell be r = 8 cm

let the external radius of the hollow shell be R = 9 cm

therefore the volume of the spherical shell V = $\frac{4}{3} π (R^{3} - r^{3}) = \frac{4}{3} * \frac{22}{7} * (9^{3} - 8^{3})$

$V = \frac{88}{21} * (729 - 512) = \frac{88}{21} * 217 = \frac{2728}{3} c m^{3}$

weight of 1 cubic cm = 4.5 gm

thus the weight of the spherical shell = $\frac{2728}{3} * 4.5 = 4092 g m = 4.092 k g$

hope this helps you

A hollow spherical shell is made of a metal of density 4.5 g per cm2 .If tits internal and external radii are 8 cm & 9 cm respectively, find the weight of the shell.

A hollow spherical shell is made of a metal of density 4.5 g per cm² .If tits internal and external radii are 8 cm & 9 cm respectively, find the weight of the shell.