Question

The diameter of a lead ball is 2.1 cm. The density of the lead used is 11.34g/c³. what is the weight of the ball.

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Answer 1

Answer:

539

Step-by-step explanation:

weight = mass x g

mass = density x volume

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

r = 2.1/2 cm

∴ Volume = 4.85

and mass = 54.9 ≈ 55

Weight = 55 x 9.8 = 539

Answer 2

Diameter of lead ball=2.1cm

$\sf \pink{Radius(r)= \frac{2.1}{2} cm}$

$\sf \blue{Volume= \frac{4}{3} \: \pi r{}^{3} }$

$\sf \implies \orange{ \frac{4}{3} \times \frac{22}{7} \times \frac{21}{20} \times \frac{21}{20} \times \frac{21}{20} }$

$\sf\implies \orange{4.851cm {}^{3}}$

$\sf\fbox \red{Density=11.34g/cm {}^{3} }$

$\sf \green{Density= \frac{Mass}{volume}}$

$\sf \pink{11.34 = \frac{mass}{4.851} }$

$\sf \implies \purple{Mass=11.34×4.851g}$

$\sf \implies \purple{Mass=55.01g.}$