Question

How many solid spheres each 6 cm diameter can be made from a solid metallic
cylinder of diameter 4 cm and height 45 cm?​

Answer 1

Answer:

5

Step-by-step explanation:

Volume of the solid sphere, v=$\frac{4}{3}$​πr³

                                               v=$\frac{4}{3}$​​×$\frac{22}{7}$​×3³cm³

                                               v=4×π×9

                                                 =36πcm³

Volume of cylinder =πR²h

                                =π×(24​)²×45cm

                                =180πcm³

No. of spheres = $\frac{volume of cylinder}{volume of sphere}$

                         =$\frac{180π}{36π}$

                       ∴n=5​

Answer 2

$\huge\mathfrak{\underline{\underline{SolutiOn-}}}$

d = 6cm r = 3cm

H = 45cm r = 2cm

Let no. of sphere be 'n' .

Volume of cylinder = n × Volume of 1 sphere.

pi R2 H = n × $\frac{4}{3}$ pi rs

$\frac{180}{36}$ = n

∴ n = 5 spheres.