Question

find the volume of a right circular cylinder of height 4cm whose curved surface area is 176sq cm​

Answer 1

Question :

find the volume of a right circular cylinder of height 4cm whose curved surface area is 176 cm² .

Answer :

$\sf\pink{Given:}$

• Height of a right circular cylinder is 4 cm .

• Curved surface area of a right circular cylinder is 176 cm² .

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

• The volume of that cylinder ?

Explanation :

• To find the volume we first need to find the radius .

Curved surface area of cylinder = 2πrh

$\\ \longrightarrow\sf{ 176 = 2\times \dfrac{22}{7}\times r\times 4}$

$\\ \longrightarrow\sf{ 176 = \dfrac{44}{7}\times 4r}$

$\\ \longrightarrow\sf{ 176\times \dfrac{7}{44} = 4r}$

$\\ \longrightarrow\sf{ 4\times 7 = 4r}$

$\\ \longrightarrow\sf{ 28 = 4r}$

$\\ \longrightarrow\sf{r = \dfrac{28}{7}}$

$\\ \longrightarrow\sf{r = 4}$

Therefore the radius is 7 cm .

Volume of cylinder = πr²h

$\\ \longrightarrow\sf{\dfrac{22}{7}\times 7\times 7\times 4}$

$\\ \longrightarrow\sf{22\times 7\times 4}$

$\\ \longrightarrow\sf{154\times 4}$

$\\ \longrightarrow\sf{616}$

Therefore the volume is 616 cm³ .

please mark as brainliest