Question

HELP ME PLS ! YOU'LL GET A GOOD 12 PTS !!

William has a 26 liter glass tank. First, he wants to put some marbles in it, all of the same volume. Then, he wants to fill the tank with water until it's completely full. If he uses 85 marbles, he will have to add 20.9, point, 9 liters of water.

What is the volume of each marble?

How much water is necessary if William uses 200 marbles?

Answer 1

The volume of the marbles is 26-20.9 = 5.1 l and there ar e85 marbles

5.1/85 = .06 l/marble

then 200 marbles would requrie .06 l/marble x 200 marbles = 12 liters

so he would only need 26-12= 14 liters of water to fill the tank !

1L = 1000 cm^3

So 85 marbles occupy 2600cm^3 - 2090cm^3 = 510 cm^2

Volume of each marble = 510 cm^3 / 85 = 6 cm^3

So....amount of water required if 200 marbles are used = 2600 - 200(85) = 1400cm^3 = 14 L