For each pair of quantities given below, check whether the first is proportional to the second. For proportional quantities, calculate the constant of proportionality.
The volume of water poured into a hollow prism and the height of the water level.
The volume of water poured into a hollow prism and the height of the water level.
Let the volume of hollow prism be v and height of water level be h.
Let the base area of the prism be ‘a’
The poured volume = volume of the water column formed in the prism
But volume for water column in the prism = base × height
⇒ v = a × h
⇒ v = ah
⇒ ![]()
We can whatever value we like for v on right side of the above equation. So, v is a variable. But a is a constant for a prism.
Whatever value we give for n, that the value will be multiplied by a constant
. So, d will always be proportional to n.
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