Question

Find the number of solid spheres of diameter 6 cm can be made by melting a solid metallic cylinder of height 45 cm and diameter 4 cm.

Answer 1

Answer:

Step-by-step explanation:

Answer 2

5 solid spheres of diameter 6 cm can be made

Step-by-step explanation:

Diameter of cylinder = 4 cm

Radius of cylinder =$\frac{4}{2}= 2 cm$

Height of cylinder = 45 cm

Volume of cylinder =$\pi r^2 h =3.14 \times 2^2 \times 45 = 565.2 cm^3$

Diameter of sphere = 6 cm

Radius of sphere =$\frac{6}{2}=3 cm$

Volume of sphere =$\frac{4}{3} \pi r^3 = \frac{4}{3} \times 3.14 \times 3^3 = 113.04 cm^3$

No. of solid spheres formed =$\frac{565.2}{113.04}=5$

Hence 5 solid spheres of diameter 6 cm can be made

#Learn more:

A solid sphere of diameter 42cm is melted and recast into a number of smaller identical cones, each of diameter 7cm and height 3cm . find the number of cones so formed?

https://brainly.in/question/8912658