Question

Curved surface area of cylinder is 880m², whose height is 10m. Find the volume of cylinder (use r

Answer 1

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

Given :

• The CSA of the cylinder = 880m²
• The height of the cylinder = 10m

To Find :

• The volume of the cylinder.

Let us first find the radius of the cylinder in order to find volume.

$\sf{CSA = 2 \: {\pi}rh}$

Blocking in the values,

$\longrightarrow{ \sf{880 = 2 \times 3.14 \times r \times 10}}$

$\longrightarrow{ \sf{880 = 62.8r}}$

$\longrightarrow{ \sf{r = \dfrac{880}{62.8} }}$

$\longrightarrow{ \boxed{ \sf{r = 14}}}$

Now, let's calculate the volume as asked in the Question.

$\sf{Volume = \pi {r}^{2} h}$

$\sf{ = 3.14 \times 14 \times 14 \times 10}$

$\sf{Volume = 6154.4 {cm}^{3} }$

Therefore, The volume of the cylinder is 6154.4cm³