5. The volume of a cylinder is 448 cm³ and its height is 7 cm. Find the curved surface area and total surface
area of the cylinder
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Step-by-step explanation:Maths AryaBhatta
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Given :
Volume of the cylinder is 448π cm³,
height of the cylinder is 7 cm.
Let the radius be r cm.
We know that,
Volume of cylinder = πr²h
=> 448π = πr²h
=> = r² × 7
=> 448 = r² × 7
=> = r²
=> 64 = r²
=> =r
=> 8 = r
Therefore,
the radius of the cylinder is 8 cm.
:
Lateral surface area and total surface area of the cylinder.
= 2πrh
= 2 × × 8 × 7
= 352 cm²
.
= 2πr(r + h)
= 2 × 22/7× 8 ( 8 + 7)
=5280/7
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