0.1 percent of 1.728 * 10^6 spherical droplets of water each of diameter 2 mm Coalesce to form a spherical bubble what is diameter in cm of the bubble
A = 1.2
B = 1.6
C = 1.8
D = 2.4
Answers
Diameter in cm of the spherical bubble = 2.4 cm if 0.1 percent of 1.728 * 10⁶ spherical droplets of water each of diameter 2 mm Coalesce to form a spherical bubble
Step-by-step explanation:
0.1 percent of 1.728 * 10⁶ = (0.1/100) * 1.728 * 10⁶
= 1.728 * 10³
= 1728
1728 spherical droplets of water
Diameter = 2mm = 0.2 cm
Radius = 0.2/2 = 0.1 cm
Volume of one Drop = (4/3) π r³
= (4/3) π (0.1)³ cm³
Volume of 1728 spherical droplets of water = 1728 * (4/3) π (0.1)³
= (4/3) π * 1.728 cm³
let say Diameter of of Spherical Bubble = D cm
Radius = D/2 cm
Volume = (4/3) π (D/2)³ = (4/3) π D³/8 cm³
Equating both volumes:
(4/3) π D³/8 = (4/3) π * 1.728
=> D³ = 8 * 1.728
=> D³ = 2³ * 1.2³
=> D³ = (2 * 1.2)³
=> D = 2.4 cm
Diameter in cm of the spherical bubble = 2.4 cm
option D is correct
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Answer:2.4
Step-by-step explanation: