Question #25955

Find the weight of an iron cylinder of height 20cm and radius of the base 10cm if 1 square centimetre of the iron weight 8 grams

Expert's answer

Find the weight of an iron cylinder of height 20cm and radius of the base 10cm if 1 cubic centimetre of the iron weight 8 grams

Solution:

Volume of a cylinder is


V=πR2HV = \pi R ^ {2} H


The weight of cylinder is


W=ρVW = \rho VR=10 cmR = 10 \text{ cm}H=20 cmH = 20 \text{ cm}ρ=8 gr/cm3\rho = 8 \text{ gr/cm}^3


So the weight of cylinder is


W=8π10220=50,265 grW = 8 * \pi * 10^2 * 20 = 50,265 \text{ gr}


Answer: The weight of an iron cylinder is 50,265 gr.

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