the volume of the cylinder is 448cm² and hight 2.8 cm .find it's arced surface area
Answers
Answer:
2
Step-by-step explanation:
Volume =448πcm
3
height =7cm
πr
2
h=448π
r
2
×7=448
r
2
=64
r=8
lateral surface
Area =2πrh
=112πcm
2
Total surface Are
=2πrh+2πr
2
=112π+128π
=240πcm
2
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