kandelrameshlal
kandelrameshlal kandelrameshlal
  • 14-08-2022
  • Mathematics
contestada

If a metallic sphere having volume 45m cubic cm is melted to form a cylinder of height 5 cm, then find the adius of the cylinder.​

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FreshIA
FreshIA FreshIA
  • 14-08-2022

Answer:

The radius is 3 cm

Step-by-step explanation:

[tex]45 \pi =\pi \: r^{2} \times 5[/tex]

[tex]45 \times \frac{22}{7} = \frac{22}{7} \times r^{2} \times 5[/tex]

[tex] \frac{990}{7} =\frac{110}{5} \times r^{2} [/tex]

[tex]141.43 = 22 \times {r}^{2} [/tex]

[tex]22 {r}^{2} = 141.43[/tex]

[tex] {r}^{2} = 6.43[/tex]

[tex]r = \sqrt{6.43} [/tex]

[tex]r = 2.54[/tex]

[tex]r = 3[/tex]

Answer Link
mathstudent55
mathstudent55 mathstudent55
  • 17-08-2022

Answer:

3 cm

Step-by-step explanation:

V = 45π cm³

For a cylinder:

V = πr²h

πr²(5 cm) = 45π cm³

r² = 9 cm²

r = 3 cm

Answer Link

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