Macingwane9098 Macingwane9098

07-09-2018
Mathematics

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You have two spheres. Sphere a has radius ra and sphere b has radius rb = kra. What is b's volumevb intermsofva andk? Vb = va

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sqdancefan sqdancefan

07-09-2018

[tex]V_a=\dfrac{4}{3}\pi r_a^3\\\\V_b=\dfrac{4}{3}\pi r_b^3\\\\V_b=\dfrac{4}{3}\pi(kr_a)^3\qquad\text{substitute for $r_b$}\\\\V_b=k^3V_a[/tex]

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