How many spheres with diameter 7 cm can be kept in a cylindrical box
base radius 21 cm and height 70 cm?
(2) 270
(1) 540
(3) 54
(4) 27
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540 Spheres with diameter 7 cm can be kept in a cylindrical box base radius 21 cm and height 70 cm
Step-by-step explanation:
Volume of Sphere = (4/3) π R³
= (4/3) π (7/2)³
= (4/3) π 343/8
= 343 π /6 cm³
Volume of cylinder = π R²H
= π 21² * 70
Number of Spheres = π 21² * 70 / (343 π /6)
= 21 * 21 * 70 * 6 / 343
= 3 * 3 * 10 * 6
= 540
540 Spheres with diameter 7 cm can be kept in a cylindrical box
base radius 21 cm and height 70 cm
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