volume of cylinder is 448πcm^3 and its height is 7cm find curved surface area of cylinder
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Step-by-step explanation:
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 × × 8 ( 8 + 7)
= 754.28 cm²
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