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


2 Answers

2 votes


\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}

User Stromgren
by
7.4k points
3 votes

Answer:


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

User Milos Fec
by
8.0k points

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