Question

A solid metallic cylinder having 6cm radius and 24 cm height is melted and recast in to small spherical balls having 6cm diameter find the number of balls made after casting

Answer 1

Answer:

Step-by-step explanation:

Find the volume of cylinder and divide it by the volume of sphere. Don't substitute the value of pizza, it will be cancelled.... Finally you will be remaining with

36×24/36 so., the answer is 24. Therefore24 spheres

Answer 2

24 balls can be made after casting

Solution:

Find volume of cylinder

$Volume\ of\ cylinder = \pi r^2 h$

Where, r is radius and h is height

Substitute r = 6 cm and h = 24 cm

$Volume\ of\ cylinder = \pi \times 6^2 \times 24\\\\Volume\ of\ cylinder = \pi \times 864$

Find volume of sphere:

Diameter = 6 cm

Therefore, radius = 3 cm

$Volume\ of\ sphere = \frac{4}{3} \times \pi times r^3\\\\Volume\ of\ sphere = \frac{4}{3} \times \pi \times 3^3\\\\Volume\ of\ sphere = \pi \times 36$

Find the number of balls made after casting

$\text{Number of balls } = \frac{ \text{ volume of cylinder }}{ \text{ volume of sphere }}$

$\text{Number of balls } = \frac{ \pi \times 864 }{ \pi \times 36}\\\\\text{Number of balls } =24$

Thus 24 balls can be made after casting

Learn more about this topic

A solid metallic cylinder of radius 3.5 cm and height 14 cm is melted and recast into a number of small solid metallic balls each of the radius 7 by 12 cm find the number of balls so formed

https://brainly.in/question/2200879

A solid metallic cylinder of base radius 3cm and height 5 cm is melted to form a cone of height 1 cm ands base radius 1mm. find the number of cones formed

https://brainly.in/question/2403651