Question

5m radius and 12m height solid metallic cylinder is melted and recast into small spherical balls of radius 5m. Find the no of cubes that can be made ?

Answer 1

Answer:

3

Step-by-step explanation:

volume of cylinder/volume of sphere= number of spheres

= pi R^2 h/ 4/3 pi r^3

= 3(R^2 h)/ 4r^3

3(5^2)*12/ 4*5^3

3*25*12/125*4

=3

Answer 2

1 ball can be made

Step-by-step explanation:

Radius of cylinder = 5 m

Height of cylinder = 12 m

Volume of cylinder =$\pi r^2 h = \frac{22}{7} \times 5^2 \times 12$

5m radius and 12m height solid metallic cylinder is melted and recast into small spherical balls of radius 5m

Volume of ball = $\frac{4}{3} \pi r^3 = \frac{4}{3} \times \frac{22}{7} \times 5^3$

No. of balls can be made = $\frac{\frac{22}{7} \times 5^2 \times 12}{\frac{4}{3} \times \frac{22}{7} \times 5^3}= 1.8$

Hence 1 ball can be made

#Learn more:

A metallic cylinder of diameter 9 and height 16 cm it was melted an recast into sphere ball of radius 0.30 . Find how many spherical balls made?

https://brainly.in/question/8184638