Question

the volume of right circular cylinder is 1100 cm cube and the radius of its base is 5 cm find it's curved surface area pie=22/7​

Answer 1

i hope this will help you

Answer 2

Curved Surface Area (CSA) of the cylinder = $440cm^2$

Given :

Volume of Cylinder = $1100 cm^{3}$

Radius (r) = $5cm$

To Find :

Curved surface Area (CSA)

Formula Applied :

$\text{ Volume of cylinder}= \pi r^{2} h$

$\text{CSA of the cylinder}= 2\pi rh$

Solution :

We have to find CSA of the cylinder. To know CSA we have to know Height of the cylinder first.

To find height Expand the values of volume of cylinder,

$\text{Volume of cylinder} = 1100\:cm^3 = \pi r^{2} h$

$\implies 1100 = \pi r^2h$

$\implies 1100 = \frac{22}{7} \times 5 \times 5 \times h$

$\implies 1100 = \frac{22}{7} \times 25 \times h$

$\implies \frac{1100}{25} = \frac{22}{7} \times h \implies \frac{220}{5} = \frac{22}{7} \times h$

$\implies \frac{220}{5} \times \frac{7}{22}=h \implies \frac{10}{5} \times \frac {7}{1} = h \implies \frac {70}{5} = h$

$\implies \texttt{h = 14cm}$

Now Substitute the values to find CSA of the cylinder

$\text{Curved Surface Area of the cylinder} = 2\pi rh$

$\implies \text{CSA} = 2\pi rh$

$\implies \text{CSA}= 2 \times \frac{22}{7} \times 5 \times 14$

$\implies \text{CSA} = 2 \times 22 \times 5 \times 2 \implies 44 \times 10$

$\implies \texttt{CSA = 440 cm^{2} }$

$\textbf{Curved Surface Area of the Cylinder } = 440cm^2$