Question

The circumference of a base of a right circular cylinder
is 250cm. If the height of the cylinder is 1.25m, find the lateral
surface area of the cylinder. ​

Answer 1

$\underline{\boxed{\bold{ \bigstar \; Question \; \bigstar }}}$  

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➠ The circumference of a base of a right circular cylinder  is 250 cm. If the height of the cylinder is 1.25 m, Find the lateral  surface area of the cylinder. ​

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$\underline{\boxed{\bold{ \bigstar \; Important \; Information \; \bigstar }}}$  

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❏ Cylinder is a 3-D shape that is made by placing many solid disc of same radius one over other.

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❏ Here are some important formula regarding cylinder.

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$\star \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \boxed{\bold{\purple{:\longmapsto \; Total \; Surface \; Area\; of \; Cylinder = 2\pi r(r+h)}}}$

$\star \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \boxed{\bold{\green{:\longmapsto \; Lateral \; Surface \; Area\; of \; Cylinder = 2\pi rh}}}$

$\star \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \boxed{\bold{\orange{:\longmapsto \; Volume \; of \; Cylinder = \pi r^2h}}}$

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➠ Circumference of base = 250 cm

➠ Height of cylinder = 1.25 m = 125 cm

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$\underline{\boxed{\bold{ \bigstar \; Answer \; \bigstar }}}$  

Let's Start !

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Let's of all , we need to find radius of cylinder from given information .-.

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As we are given circumference of base of cylinder ,

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$\star \; \; \; \; \; \; \; \; \; \; \; \; \boxed{ \red { \mathtt {:\leadsto Circumference \; of \; Base = 2\pi r } } }$

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$:\implies250 \; cm = 2\pi r$

$:\implies r = \dfrac{250}{2\pi }$

$:\implies r = \dfrac{125}{\pi } \; cm$

$:\implies r = \dfrac{125 \times 7}{22 } \; cm$

$\boxed { \orange { :\implies r = 39.77 = \frac{125}{\pi } \; cm} }$

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Now let's apply the formula of Lateral surface area .-.

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$\star \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \boxed{\bold{\green{:\longmapsto \; Lateral \; Surface \; Area\; of \; Cylinder = 2\pi rh}}}$

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$:\implies\; LSA \; of \; Cylinder = 2 \times \pi \times \dfrac{125}{\pi } \times 125 \; cm$

$:\implies\; LSA \; of \; Cylinder = 2 \times 125 \times 125 \; cm$

$:\implies\; LSA \; of \; Cylinder = 2 \times (125)^2 \; cm$

$:\implies\; LSA \; of \; Cylinder = 2 \times 15375 \; cm$

$\boxed { \red{:\implies\; LSA \; of \; Cylinder = 31250 \; cm } }$

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$\boxed{\boxed{\bold{\therefore  Lateral \; Surface \; Area \; of \; Cylinder = 31250 \; cm }}}$

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Hope this helps u.../

【Brainly Advisor】

Answer 2

գυєѕτíօи :

❥ The circumference of a base of a right circular cylinder  is 250 cm. If the height of the cylinder is 1.25 m, Find the lateral  surface area of cylinder .

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★ Important Information ★  

❏ Cylinder is a 3-D shape that is made by placing many solid disc of same radius one over other.

❏ Here are some important formula regarding cylinder.

⟼Total Surface Area of Cylinder

= 2 π r( r + h )

⟼ Lateral Surface Area of Cylinder

= 2πrh

⟼ Volume of Cylinder

= πr²h

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★ Given ★  

➠ Circumference of base = 250 cm

➠ Height of cylinder = 1 . 25 m = 125 cm

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★ Answer ★  

Let's Start!

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Let's of all , we need to find radius of cylinder from given information

As we are given circumference of base of cylinder ,

⇝Circumference of Base = 2πr

⟹ 250 cm = 2π

⟹ r = 2 π250

⟹ r = π 125cm