Question

8. Find the curved surface area and total surface area of the cylinders with the following dimensions: b) radius = 35 cm,height = 10.5cm​

Answer 1

Given:-

• Radius of Cylinder = 35cm

• Height of Cylinder = 10.5cm

To Find:-

• It's Curved Surface Area and Total Surface Area

Formula Used:-

• ${\boxed{\bf{CSA\:of\: Cylinder=2 \pi rh}}}$

• ${\boxed{\bf{TSA\:of\: Cylinder=2 \pi r(h+r)}}}$

Solution:-

Firstly,

$\sf :\implies\:CSA\:of\: Cylinder=2 \pi rh$

$\sf :\implies\:CSA\:of\: Cylinder=2 \times \dfrac{22}{7}\times35\times10.5$

$\sf :\implies\:CSA\:of\: Cylinder=2 \times22\times5\times10.5$

$\bf :\implies\:CSA\:of\: Cylinder=2,310\:cm^2$

And,

$\sf :\implies\:TSA\:of\: Cylinder=2 \pi r(h+r)$

$\sf :\implies\:TSA\:of\: Cylinder= 2\times \dfrac{22}{7}\times 35(10.5+30)$

$\sf :\implies\:TSA\:of\: Cylinder= 2\times 22\times 5\times 40.5$

$\bf :\implies\:TSA\:of\: box= 8,910\:cm^2$

Hence, The Curved Surface Area of Cylinder is 2,310cm² and Total Surface Area of Cylinder is 8,910cm².

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Answer 2

Answer :-

•  The Curved Surface Area ( CSA ) of Cylinder is 2,310cm² and Total Surface Area ( TSA ) of Cylinder is 8,910cm².

Given :-

• Radius of the cylinder is 35 cm

• Height of the cylinder is 10.5 cm

To Find :-

• Curved Surface Area ( CSA )

• Total surface Area ( TSA )

Solution :-

❍ In order to find the CSA and TSA we have to apply the following formulas  

          ★  CSA of Cylinder =  2πrh

          ★  TSA of Cylinder =  2πr( r + h )

Where,

• r denotes radius

• h denotes height

• π denotes 22/7

Finding the CSA :-

$\sf : \; \implies CSA = 2 \times \dfrac{22}{7} \times 35\;cm \times 10.5 \; cm$

$\sf : \; \implies CSA = 2 \times \dfrac{22}{7} \times 35\;cm \times \dfrac{105}{10} \; cm$

$\sf : \; \implies CSA = 2 \times 22 \times 35\;cm \times \dfrac{15}{10} \; cm$

$\sf : \; \implies CSA =22 \times 35\;cm \times \dfrac{15}{5} \; cm$

$\sf : \; \implies CSA =22 \times 35\;cm \times 3 \; cm$

$\bf : \; \implies CSA =2,310 \; cm^{2}$

Henceforth,

• Curved Surface area of the cylinder is 2,310 cm².

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Finding the TSA :-

$\sf : \; \implies TSA = 2 \times \dfrac{22}{7} \times 35\;cm \times \bigg\{ 35 \;cm + 10.5 \;cm\bigg\}$

$\sf : \; \implies TSA = 2 \times 22 \times 5\;cm \times 40.5 \;cm$

$\bf : \; \implies TSA = 8,910\;cm^{2}$

Henceforth,

• Total surface area of the cylinder is 8,910 cm²