## Related questions with answers

Question

Air enclosed in a sphere has density $\rho = 1.4 \mathrm { kg } / \mathrm { m } ^ { 3 }$. What will the density be if the radius of the sphere is halved, compressing the air within?

Solution

VerifiedStep 1

1 of 3Let $m$ be the mass of the enclosed air and $V=\dfrac{4}{3}\pi r^3$ be the volume of the sphere. Then,

$\rho=\dfrac{m}{V}$

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