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GATE BT 2017 | Question: 33

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Consider an infinite number of cylinders. The first cylinder has a radius of $1$ meter and height of $1$ meter. The second one has a radius of $0.5$ meter and height of $0.5$ meter. Every subsequent cylinder has half the radius and half the radius and half the height of the preceding cylinder. The sum of the volumes (in cubic meters) of these infinite numbers of cylinder is __________.

Given data: $\pi = 3.14$

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