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12-02-2021
Mathematics

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A sphere and a cylinder have the same radius and height the volume of the cylinder is 48cm what is the volume of the sphere

Respuesta :

12-02-2021

Answer:

Step-by-step explanation:

Since they have the same height, the h of the cylinder must be 2r like the sphere.

[tex]V_c=h\pi r^2,\ given\ h=2r,\ V_c=2\pi r^3,\ 2\pi r^3=48,\ r^3=\frac{24}{\pi}\\ \\ V_s=\frac{4\pi r^3}{3},\ V_s=32 cm^3[/tex]

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