Question

The volume of cylinder is 448 pie cm cube and height 7 cm find its radius
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Answer 1

`\huge\mathbb{ \underline{SOLUTION :}}`

Given:

• 
  `\longrightarrow\bold{Volume= 449 \pi cm^3}`

• 
  `\longrightarrow\bold{Height= 7cm}`

`\longrightarrow\sf{V= \pi r^2 h}`

`\longrightarrow\sf{448 \pi= \pi r^2 \cdot 7}`

`\longrightarrow\sf{448=</p><p>7r^2}`

`\longrightarrow\sf{r^2= (448)/(7) }`

`\longrightarrow\sf{r^2=64}`

`\huge \mathbb{ \underline{ANSWER:}}`

`\longrightarrow\sf{r= 8cm}`

Answer 2

`r =\bf 8 \space\ cm`

Explanation:

The formula for volume of a cylinder is as follows:

`\boxed{Volume = \pi r^2 h}`

where:

• r = radius (? cm)

• h = height (7 cm).

Substituting the values into the formula:

`448 \pi = \pi * r^2 * 7`

Now solve for
`r`:

⇒
`r^2 = (448 \pi )/(\pi * 7)`

⇒
`r = √(64)`

⇒
`r =\bf 8 \space\ cm`