Question

when some marbles of diameter 1.4cm each are dropped into a cylinder vessel of radius 7cm containing some water in it, the water rises in the vessel to 28cm. Find the number of marbles dropped. plz answer it ..​

Answer 1

Answer:

3000

Step-by-step explanation:

Find the volume of each marble:

Volume = 4/3 πr³

Volume = 4/3 π (1.4 ÷2)³ = 539/375 cm³

Find the volume of the water rise:

volume = πr²h

volume = π(7)²(28) = 4312 cm³

Find the number of marbles:

one marble = 539/375 cm³

total marbles = 4312 ÷ 539/375 = 3000

Answer 2

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The Volume of Each marble = { 4/3 } • π • r^3 = [ 539 / 375 ] cm^3.

After the marbles are dropped into the vessel, the volume of water in the vessel rises.

Rise in this volume = { 1/3 } • π • r^2 • h = [ 4812 / 3 ] cm^2.

Number of Marbles = [ Total Volume Of Water Risen / Volume of Each Marble } = 1116 marbles approx and not 3000.