Question

Ratio of volumes of 2 coins with same radius is
a)h1:h2
b)S1:S2
c)r1:r2
d)None of these

Answer 1

Solution :

Here coin is in cylindrical shape

Let the height of one of the coin be h₁ units

Let the height of the other coin be h₂ units

Given :

Radius of one of the coin = Radius of the other coin = r units

Volume of one of the coin = πr²h₁ sq.units

Volume of the other coin = πr²h₂ sq.units

Ratio of volumes of 2 coins = πr²h₁ : πr²h₂

= h₁ : h₂

Hence, the ratio of volumes of 2 coins with same radius is (a) h₁ : h₂.

Answer 2

Question :----

• what is the ratio of volume of two coins having same radius ?

Concept and formula used :-----

• A coin is in the shape of a cylinder .
• Volume of cylinder = πr²h

Solution :------

Let Height of one coin be = h1

Height of second coin be = h2

As their radius is same , let radius is = r ,

now,

Putting values we get,,

volume of coin one = πr²(h1)

volume of coin two = πr²(h2)

Hence,

Required ratio of their volumes ,,,

V1 : V2 = πr²(h1) : πr²(h2)

V1 : V2 = h1 : h2 (Option a)

So, we can say that , when radius is same volume of coins will depends on their Height ..

(Hope it Helps you)

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