Question

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

Answer:

$r =\bf 8 \space\ cm$

Step-by-step 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:
$448 \pi = \pi \times r^2 \times 7$

Now solve for $r$:

⇒ $r^2 = \frac{448 \pi }{\pi \times 7}$

⇒ $r = \sqrt{64}$

⇒ $r =\bf 8 \space\ cm$

Answer 2

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

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=

7r^2}$

$\longrightarrow\sf{r^2= \dfrac{448}{7} }$

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

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

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