Question

The diameter of a metallic ball is 4.2 cm. What is the mass of the ball, if the density of the metal is 8.9 g per cm³?

Answer 1

Answer:

The mass of the ball = 345.3912 gm

Step-by-step explanation:

given,

        density = $8.9 \frac{g}{cm^{3}}$

        diameter of a metallic ball , d = 4.2 cm

                     ∴ radius, r = $\frac{d}{2}$ = 2.1

volume of the ball ( sphere) = $\frac{4}{3}\pi r^{3}$

                                              = $\frac{4}{3}\times \frac{22}{7} \times\left ( 2.1 \right )^{3}$

                                              = 38.808$cm^{3}$

          now,

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

                 ⇒ $8.9 = \frac{mass}{38.808}$

                 ⇒ $mass =8.9\times 38.808$

                 ⇒ mass = 345.3912 gm