Question

Can someone PLEASE HELP me with this??? i really don't know what to do

A cylinder has a height of 10 ft and a volume of 25,456 ft³.

The radius of the cylinder is approximately ___ feet.

Round your answer to the nearest whole number.

Answer 1

`\sf\purple{The\:radius\:of\:the\:cylinder\:is\:approximately \:28 \:ft.}`

Given:-

`\sf\blue{Height\:of\:the\:cylinder\:(h) }` = 10 ft.

`\sf\pink{Volume\:of\:the\:cylinder}` = 25,456 ft³.

To find:-

`\sf\purple{The\:radius\:of\:the\:cylinder.}`

Step-by-step Step-by-step explanation:-

We know that,

`\sf\red{Volume\:of\:a\:cylinder}` =
`\pi {r}^(2) h \\ ✒ \: 25456 \: {ft}^(3) = \pi {r}^(2) * 10 \: ft \\ \: ✒ \: {r}^(2) = \frac{25456 * 7 \: {ft}^(3) }{22 * 10 \: ft} \\ ✒ \: {r}^(2) \: = \frac{178192 \: {ft}^(2) }{220} \\ \: ✒ \: {r}^(2) = 809.9636 \: {ft}^(2) \\ \: ✒\: r \: = \sqrt{809.9636 \: {ft}^(2) } \\ ✒ \: r \: = 28.45 \: ft`

Hence, the radius of the cylinder is 28.45 feet.

`\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘`