Question

the radius of the cylinder whose curved surface area is 704 cm 2 and height is 8 cm​

Answer 1

Answer:

The radius of the cylinder is 14cm.

Answer 2

$\sf\blue{Correct \ Question}$

$\sf{Find \ the \ radius \ of \ the \ cylinder \ whose}$

$\sf{curved \ surface \ area \ is \ 704 \ cm^{2}}$

$\sf{and \ height \ is \ 8 \ cm}$

_____________________________________

$\sf\red{\underline{\underline{Answer:}}}$

$\sf{The \ radius \ of \ the \ cylinder \ is \ 14 \ cm}$

$\sf\orange{Given:}$

$\sf{For \ cylinder,}$

$\sf{\implies{Curved \ surface \ area=704 \ cm^{2}}}$

$\sf{\implies{Height (h)=8 \ cm}}$

$\sf\pink{To \ find:}$

$\sf{Radius \ of \ the \ cylinder.}$

$\sf\green{\underline{\underline{Solution:}}}$

$\boxed{\sf{Curved \ surface \ area \ of \ cylinder=2\pi \times \ r\times \ h}}$

$\sf{\implies{704=2\times\frac{22}{7}\times \ r\times8}}$

$\sf{\implies{r=\frac{704\times7}{2\times22\times8}}}$

$\sf{\implies{r=\frac{704\times7}{352}}}$

$\sf{\implies{r=2\times7}}$

$\sf{\implies{r=14 \ cm}}$

$\sf\purple{\tt{\therefore{The \ radius \ of \ the \ cylinder \ is \ 14 \ cm}}}$