Question

a shotput is metallic sphere of radius 4.9 cm if the density of the metal is 6.8 gm per cm cube. find the mass of the shotput​

Answer 1

$\sf{\underline{Answer:}}$

The mass of the shot put is 3.352 kg.

$\sf{\underline{Given:}}$

Radius of metallic sphere = 4.9 cm

Density of the metal = 6.8 gm / cm³

$\sf{\underline{Now:}}$

$\boxed{\sf{Volume\:of\: sphere\: = \frac{4} {3}\pi\:r^{3}}}$

$\implies$ $\sf \frac{4}{3} \times \frac{22}{7} \times 4.9 \times 4.9 \times 4.9$

$\implies$ $\sf 4.19047619 \times 117.649$

$\implies$ $\sf{493}$ cm³

$\boxed{\sf{Mass\:of\:the\:shot\:put\: =\:Volume\:\times\:Density}}$

$\implies$ $\sf 493 \times 6. 8$ gm

$\implies$ $\sf{3352.4}$ gm

$\sf{\underline{Hence:}}$

Mass of the shot put sphere is 3.352 kg. (approx)