the volume of a right circular cylinder is 44 cu cm and the base radius is 2 cm find the lateral surface
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Answer:
,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
=> \frac{448\pi}{\pi}
π
448π
= r² × 7
=> 448 = r² × 7
=> \frac{448}{7}
7
448
= r²
=> 64 = r²
=> \sqrt{64}
64
=r
=> 8 = r
Therefore,
the radius of the cylinder is 8 cm.
\mathbb{TO\:BE\:FOUND}TOBEFOUND :
Lateral surface area and total surface area of the cylinder.
\bf{Lateral\:surface\: area \: :}Lateralsurfacearea:
= 2πrh
= 2 × \frac{22}{7}
7
22
× 8 × 7
= 352 cm²
.
\bf{Total\:surface\: area \: :}Totalsurfacearea:
= 2πr(r + h)
= 2 × \frac{22}{7}
7
22
× 8 ( 8 + 7)
= 754.28 cm²
Step-by-step explanation:
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