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PeshwaBajirao42

[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]

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Answer:

volume ≈ 14.14 in³

Step-by-step explanation:

Given the volume of a cube = 27 = s³ ( s is the side length ), then

s = [tex]\sqrt[3]{27}[/tex] = 3

diameter of sphere = 3 ⇒ r = [tex]\frac{3}{2}[/tex] = 1.5

The volume (V) of a sphere is calculated using the formula

V = [tex]\frac{4}{3}[/tex]πr³

  = [tex]\frac{4\pi(1.5)^3 }{3}[/tex] ≈ 14.14 in³ ( 2 dec. places )

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