Question

a solid cone of radius 5 cm and height 8 cm is melted and made into small spheres of radius 0.5 cm find the number of spheres
formed

Answer 1

Number of sphere formed is 200

Answer 2

Answer:∴

400 Spheres

Step-by-step explanation:

Here Radius of Cone = 5 cm

Height of cone = 8 cm

Radius of resulting spheres = 0.5 cm

Let the number of spheres made be n

We know that when we melt an object and reshape it into other object(s)

Then,

Volume of Resulting Object(s) = Volume of melted object

∴ Volume of 'n' spheres = volume of cone

n × (4/3)×π×(radius of sphere)³ = (1/3)×π×(radius of cone)²×height of cone

n × (4/3)π(0.5)³ = (1/3)π(5)²×8  

$n=\frac{1 \times \pi \times 5 \times 5 \times 5 \times 8 \times 3}{3 \times \pi  \times 0.5 \times 0.5 \times 0.5 \times 4}$

n = 400