Question

4.How many balls, each of radius 1 cm, can be made from a solid sphere of lead of radius

8 cm?​

Answer 1

Answer:

Volume of 1 ball = 4/3 * π * r³ = 4/3 * π * 1

Volume of large sphere = 4/3 * π * r³ = 4/3 * π * 512

No. of balls = (4/3 * π * 512)/(4/3 * π * 1) = 512

Therefore 512 balls can be made

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Answer 2

Answer:

512 balls can be made.

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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.

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Given that the radius of the lead sphere = 8cm

Volume of a sphere = (4/3) πr³

Volume of the lead sphere = (4/3)π × ( 8cm )³

Volume of the lead sphere = (4/3)π × 512cm³

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Given that the radius of each ball = 1cm

Volume of a ball( sphere) = (4/3) πr³

Volume of each ball = (4/3)π × ( 1cm )³

Volume of each ball = (4/3)π × 1cm³

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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.

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Number of balls can be made:

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$\implies\rm\small\dfrac{The~volume~of~lead~sphere}{The~volume~of~each~ball}$

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$\implies \rm\small\dfrac{\dfrac{4}{3}\pi \times 512cm^3}{\dfrac{4}{3}\pi \times 1cm^3}$

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$\implies \rm\small\dfrac{512cm^3}{1cm^3}$

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$\implies 512$

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512 balls can be made from the solid sphere of lead.