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