height of a cylinder barral is 50 cm and radius of the base is 20cm Anurag started to fill the barrel with water, when it was empty by cylindrical mug . The diameter and height of the mug was 10 cm and 15 CM respectively. How many minimum number of mug will be required for the barrel to overflow?
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DIMENSIONS OF CYLINDRICAL BARELL:
HIEGHT OF CYLINDER=50 cm.
RADIUS OF CYLINDER=20 cm.
DIMENSIONS OF MUG(CYLINDRICAL):
HIEGHT=15 cm.
DIAMETER=10 cm
RADIUS =D/2=10/2 cm=5 cm.
VOLUME OF CYLINDRICAL BARELL = VOLUME OF CYLINDRICAL MUG×N
(here,N means number of mugs required to empty the barell)
pi×R^2×H=pi×r^2×h×(N)
pi/pi×(20 cm)^2×50cm=(5cm)^2×15cm×N
20000cm^3=375cm^2×N
N=20000cm^3÷375cm^2
N=53.33 cm.
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