please explain and answer ​

Please Explain And Answer class=

Answer :

Step-by-step explanation:

[tex]v \: = \: \pi \: {r}^{2} \times \frac{h}{3} [/tex]

rearrange to get

[tex]48\pi \: = \: \pi {r}^{2} \times \frac{9}{3} [/tex]

remove pi from both sides

[tex]48 \: = {r}^{2} \: \times 3[/tex]

[tex] \frac{48}{3} = {r}^{2} [/tex]

[tex]16 = {r}^{2} [/tex]

[tex]r = \sqrt{16} [/tex]

[tex]r = 4[/tex]

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