How many spherical balls can be made out of a solid metal cube
whose edge measures 12 cm and each ball is being 3 cm in radius.
Answers
Answer:
(side)a=12 cm
volume of a cube = a^3
=12^3
=1728cm^3
volume of a ball = 4/3 ×pi ×r^3
=4/3×22/7 ×3×3×3
=113.1cm^3
no of balls can be made = volumeof a cube/volume of a ball
=1728/113.1
=15 balls
15 spherical balls are made from the given solid cube.
Step-by-step explanation:
Here, Dimensions of solid cube :
Edge of cube (a) = 12 cm
So, Volume of cube V1 = a³
V1 = (12)³
= 1728 cm³......(i)
Here, Dimensions of each spherical ball:
radius = 3 cm
Volume of each ball V2 = 4/3 πr³
= 113.1
If we let the number of spherical ball made by the solid cube which is 'n'
n = V1 /V2
n = 1728 / 113.1
n = 15.28 [ Approx 15 balls ]
15 spherical balls are made from the given solid cube.