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Air enclosed in a sphere has density 1

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Air enclosed in a sphere has density 1.4 kg/m3 . What will the density be if the radius of the sphere is halved, compressing the air within? Express your answer in kilograms per cubic meter.

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Mass = density x volume

m = $\rho V$

since mass is constant

this implies

$\rho V$ is constant

$\rho_{1} V_{1} = \rho_{2} V_{2}$

$\rho_{1} (4/3) \pi R^{3}= \rho_{2} (4/3) \pi (R/2)^{3}$

$??$

$P2-8P1-8X 1.4 11.2kg/m$

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