Question

Q26. The total surface area of
cylinder with diameter of base
5cm and height 30 cm will be
O a)510.7 cm^2
O b)610 cm^2
O c) 505cm^2
O d)511cm^2​

Answer 1

Answer:

answer is 510.7 cm^2

Step-by-step explanation:

is on the photo

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Answer 2

Given :

• Diameter of Base of Cylinder = 5 cm.
• Height of Cylinder = 30 cm.

To Find :

• Total Surface Area of Cylinder.

Solution :

$\longmapsto\tt{Radius=\dfrac{5}{2}}$

$\longmapsto\tt{Height=30\:cm}$

Using Formula :

$\longmapsto\tt\boxed{T.S.A\:of\:Cylinder=2\pi{r(r+h)}}$

Putting Values :

$\longmapsto\tt{{\cancel{2}}\times\dfrac{22}{7}\times\dfrac{5}{{\cancel{2}}}\bigg(\dfrac{5}{2}+\dfrac{30}{1}\bigg)}$

$\longmapsto\tt{\dfrac{110}{7}\bigg(\dfrac{5+60}{2}\bigg)}$

$\longmapsto\tt{\dfrac{110}{7}\times\dfrac{65}{2}}$

$\longmapsto\tt{\cancel\dfrac{7150}{14}}$

$\longmapsto\tt\bf{510.7\:{cm}^{2}}$

So , Total Surface Area of Cylinder is 510.7 cm²..

Option a) 510.7 cm² is Correct..

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• Curved Surface Area of Cylinder = 2πrh
• Total Surface Area of Cylinder = 2πr(r+h)
• Volume of Cylinder = πr²h

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