From a solid metal right circular cylinder of diameter 20 cm and height 15 cm, a solid right circular cylinder of height 12 cm is removed, such that the remaining is an one-side open vessel which can store 768π cm3 of liquid. Find the thickness of the vessel.?

1 cm
2 cm
3 cm
4 cm

LohaHridoy

4 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 2 : 2 cm

Let ‘r’ cm be the radius of the inner cylinder removed

Height of inner cylinder = 12 cm

As we know, Volume of cylinder = πr²h

Volume of inner cylinder removed = Volume of liquid that can be stored in vessel

⇒ π × r² × 12 = 768π

⇒ r² = 64

⇒ r = 8 cm

Now,

Radius of original cylinder = R = 20/2 = 10 cm

∴ Thickness of vessel = R – r = 10 – 8 = 2 cm

4 views Answered 2022-09-04 04:29

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