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yKpoI14uk [10]
3 years ago
9

The volume of a sphere is 904.32 mm3. What is the approximate volume of a cone that has the same height and a circular base with

the same diameter? Use 3.14 for π and round to the nearest hundredth.
Mathematics
1 answer:
mariarad [96]3 years ago
4 0

Answer:

V_c=452.16\ mm^3

Step-by-step explanation:

Given that,

The volume of a sphere is 904.32 mm³.

The volume of a cone that has the same height and circular base with the same diameter is:

V_c=\dfrac{1}{3}\pi r^2 \times 2r=\dfrac{2}{3}\pi r^3

The volume of a sphere with the same radius is:

V_s=\dfrac{4}{3}\pi r^3=2\times \dfrac{2}{3}\pi r^3

So, the volume of sphere is :

V_c=\dfrac{V_s}{2}\\\\V_c=\dfrac{904.32 }{2}\\\\V_c=452.16\ mm^3

So, the volume of the cone is 452.16\ mm^3.

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