Question

If a cylinder of radius 3cm and height 10cm is melted and recast into the shape of small spheres of diameter
1cm, then the number of spheres so formed is
A) 35 B) 270 C) 540 D) 1080

Answer 1

Answer:

⚠ _ Hello _ ⚠

Answer is 540

Step-by-step explanation:

⚫ Solution ⤵

$volume \: of \: cylinder \: = \pi {r}^{2} h \: \\ according \: to \: question \\ \pi \times 3 \times 3 \times 10 = \frac{4}{3} \pi \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \\ 3 \times 3 \times 3 \times 2 \times 10 \\ 540$

❇ Hope it's help❇

Answer 2

Step-by-step explanation:

Radius of Cylinder= 3 Cm

Height of Cylinder= 10cm

• volume of Cylinder= 1/3 πr²h
• Volume of sphere = 4/3πr²h

A/q

$\large\implies{\sf }$ 1/3 x π x 3 x 3 x 10 = 4/3 x π x 1/2 x 1/2 x 1/2

By solving this we get 540