Question

The circumference of the base of a right circular cylinder is 220 cm. If the height of the cylinder is 2 m find the lateral surface area of the cylinder.​

Answer 1

$\huge \underline \mathsf \red {Solution:-}$

Let the height and radius of the cylinder be h and r cm respectively.

Given:

• Height is 2m = 200cm

As, circumference of base = 220

2πr = 220

➠ $\mathsf {2 \times\frac{22}{7} \times r = 220}$

r = 35 cm

➠ $\mathsf {2 \times\frac{22}{7} \times 35 \times h}$

➠ $\mathsf {2 \times\frac{22}{7} \times 35 \times 220}$

As, Lateral surface of cylinder = 2πrh

= 44000 cm²

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Answer 2

Solution :

$\bf{\red{\underline{\bf{Given\::}}}}$

The circumference of the base of a right circular cylinder is 220 cm. If the height of the cylinder is 2 m.

$\bf{\red{\underline{\bf{To\:find\::}}}}$

The lateral surface area of the cylinder.

$\bf{\red{\underline{\bf{Explanation\::}}}}$

We know that perimeter of circle :

$\boxed{\bf{Circumference\:of\:circle=2\pi r}}}}$

A/q

$\longrightarrow\sf{2\pi r=220}\\\\\\\longrightarrow\sf{2\times \dfrac{22}{7} \times r=220}\\\\\\\longrightarrow\sf{\dfrac{44}{7} \times r=220}\\\\\\\longrightarrow\sf{r=\dfrac{\cancel{220}\times 7}{\cancel{44}} }\\\\\\\longrightarrow\sf{r=5\times 7}\\\\\\\longrightarrow\sf{\underline{\orange{r=35cm}}}$

We can covert the radius into m

$\longrightarrow\sf{r=0.35m}}$

Now;

$\boxed{\bf{Lateral\:surface\:area\:of\:cylinder=2\pi rh}}}}$

$\longrightarrow\sf{2\times \dfrac{22}{\cancel{7}} \times \cancel{0.35} \times 2}\\\\\\\longrightarrow\sf{44\times 0.05\times 2}\\\\\\\longrightarrow\sf{(44\times 0.1)m^{2} }\\\\\\\longrightarrow\sf{\orange{\underline{4.4\:m^{2} }}}$

Thus;

The lateral surface area of the cylinder is 4.4 m² .