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What is the volume of a sphere with a diameter the same length as the side of a cube with a volume o...
4 months ago
Q:
What is the volume of a sphere with a diameter the same length as the side of a cube with a volume of 27 cubic inches?β
Accepted Solution
A:
[tex]volume \: of \: cube \: = \: ({side)}^{3} \\ side \: of \: cube \: = \sqrt[3]{27} \: = \: 3 \: inch \\ volume \: of \: spere \: = \: \frac{4}{3} \pi {r}^{3} = \frac{4}{3} \times \frac{22}{7} \times \frac{3}{2} \times \frac{3}{2} \: \times \frac{3}{2} = \frac{99}{7} = 14.14 \: approx \: cubic \: inch[/tex]HOPE THIS WILL HELP U