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4.How many balls, each of radius 1 cm, can be made from a solid sphere of lead of radius 8 cm? |
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Answer» 512 balls can be made.⠀⠀⠀⠀⠀⠀⠀⠀⠀Explanation:if we were to find how MANY balls can be made, then we are dealing with the volume of the two SPHERES. first we will found the volume of the LARGEST sphere, then we will found the volume of the smaller sphere.⠀⠀⠀⠀⠀⠀⠀⠀⠀Given that the radius of the lead sphere = 8cmVolume of a sphere = (4/3) πr³Volume of the lead sphere = (4/3)π × ( 8cm )³Volume of the lead sphere = (4/3)π × 512cm³⠀⠀⠀⠀⠀⠀⠀⠀⠀Given that the radius of each BALL = 1cmVolume of a ball( sphere) = (4/3) πr³Volume of each ball = (4/3)π × ( 1cm )³Volume of each ball = (4/3)π × 1cm³⠀Now we have got the volume of both the ball and the largest sphere,we can find the NUMBER of balls can be made from the sphere by dividing the volume of largest sphere by volume of each ball. ⠀⠀⠀⠀⠀⠀⠀⠀⠀Number of balls can be made:⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀512 balls can be made from the solid sphere of lead. |
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