Question

A cylinder radius 4 cm and height 10 cm is melted and recasted into sphere of radius 2 cm.how much sphere got?

Answer 1

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Answer 2

Answer: There are 15 sphere that we get by melting cylinder.

Step-by-step explanation:

Since we have given that

Radius of a cylinder = 4 cm

Height of a cylinder = 10 cm

So, Volume of cylinder is given by

$Volume=\pi r^2h\\\\Volume=\pi \times 4\times 4\times 10$

According to question, a cylinder is recasted into sphere of radius 2 cm.

Volume of sphere is given by

$\dfrac{4}{3}\pi r^3=\dfrac{4}{3}\times \pi \times 2\times 2\times 2$

so, Number of spheres is given by

$\dfrac{\text{Volume of cylinder }}{\text{Volume of sphere}}\\\\\\=\dfrac{\pi \times 4\times 4\times 10}{\dfrac{4}{3}\times \pi \times 2\times 2\times 2}\\\\=3\times 5\\\\=15$

Hence, there are 15 sphere that we get by melting cylinder.