Math, asked by daya5686, 1 year ago

The volume of a cylinder is 490πcm^3 and its height is 10 cm. Find the area of its whole surface

Answers

Answered by josimagic
6

Answer:

The area is 238π  cm^2

Step-by-step explanation:

It is given that,

The volume of a cylinder is 490πcm^3 and its height is 10 cm.

Ler r be the base radius and h be the height of cylinder.

To find the radius

Volume V = πr^2h

Here Volume = 490πcm^3

= πr^2 x 10 = 490π

r^2 = 49

r = 7

To find the total surface area

TSA = 2xBase area + CSA

Base area = πr^2 = 49π

Toeal base are = 2 x 49π = 98π

CSA = 2πrh = 2 x π x 7 x 10 = 140π

Total surface area = 98π  + 140π =238π


Answered by kamleshcivil
8
volume of cylinder is πr^2h
and area of cylinder is 2πr(h+r)

πr^2h=490π
r = 7
then area of cylinder
2πr(r+h) = 2π×7(7+10)
=238π or 747.70
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