Question

the diameter of lead ball is 2.1 CM. the density of lead used is 11.34 gram/ cubic cm. what is the weight of ball?

Answer 1

Solutions :-

Given :
Diameter of ball = 2.1 cm
Radius of ball = 2.1/2 = 1.05 cm

Density of lead = 11.34 g/cm³

Find the volume of ball :-

Volume of sphere = 4/3πr³ cu. unit
= 4/3 × 22/7 × (1.05)² cm³
= 4.85 cm³

Find the mass of lead :-

Mass = (Density × Volume)
= (4.85 × 11.34) gram
= 54.99 gram (approx)

Hence,
Weight of lead = 55 gram

_______________________

✯ @shivamsinghamrajput ✯

Answer 2

$\mathfrak{Heya\: mate. \: Solution \: below.}$
=========================================

★ $<b>SPHERES</b>$ ★

=========================================

$<font color = "red"><u>Answer -</u></font color>$



• Given Diameter of lead ball (probably spherical) = 2.1 cm


=>> Radius of the ball,

$= \frac{d}{2}$

$= \frac{2.1}{2}$

$= 1.05$

= 1.05 cm




• Then, Volume of the sphere,

$= \frac{4}{3} \pi {r}^{2}$

$= \frac{4}{3} \times \frac{22}{7} \times 1.05 \times 1.05 \times 1.05$

$= \frac{101.871}{21}$

$= 4.851$

= 4.851 cm³





• Now, we know that,


$density \: = \: \frac{mass }{volume}$

$= > \: mass \: = \: density \: \times \: volume$




• Then, mass of the lead ball,


$= v \: \times \: d$

$= 4.851 \times 11.34$

$= 55.01034$


= 55.01034 g


≈ 55 g




•°• The lead ball weighs 55 g (approximately)
=========================================

Thank you... (^_-)