Weeksj931 Weeksj931
  • 24-11-2020
  • Mathematics
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The volume of one can is 300 cubic centimeters. What is the radius of this can? Round to the nearest hundredth.

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umairkazi924
umairkazi924 umairkazi924
  • 24-11-2020

Volume of cylinder

[tex]\pi {r}^{2} h[/tex]

Volume of the can = 300

[tex]300 = \pi {r}^{2} h[/tex]

[tex]300 = \frac{22}{7} {r}^{2} h[/tex]

[tex]300 \times \frac{7}{22} = {r}^{2} h[/tex]

[tex]150 \times \frac{7}{11} = {r}^{2} h[/tex]

[tex]95.45 = { r}^{2} h[/tex]

[tex] \frac{95.45}{h} = {r}^{2} [/tex]

[tex] \sqrt{ \frac{95.45}{h} } = r[/tex]

[tex] \frac{ \sqrt{95.45} }{ \sqrt{h} } = r[/tex]

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