Question

The volume if a cylinder is 448π cm cube and height 7cm.find its lateral (curved)surface area and total surface area.

Answer 1

volume of cylinder = πr^2h = 448π
r = √[448/7
r = 8 cm
lateral cubed surface area = 2πrh
= 2×22/7 × 8× 7
= 351.86 cm^
total Surface area = 2πr(h+r)
= 2×π× 8(8+7)
= 754 cm^2

Answer 2

$\textbf{\underline{\underline{According\:to\:the\:Question}}}$

★Given :-

★Volume of cylinder = 448π cm³

★Height = 7 cm

★Assume radius be (r)

★Therefore,

πr²h = 448π

$\tt{\rightarrow r^{2}=\dfrac{448\pi}{h\pi}}$

$\tt{\rightarrow r^{2}=\dfrac{448}{7}}$

r² = 64

r = √64

r = 8 cm

★LSA of Cylinder = 2πrh

$\tt{\rightarrow 2\times\dfrac{22}{7}\times 8\times 7}$

= 352 cm²

★TSA of Cylinder = 2πr(h + r)

$\tt{\rightarrow 2\times\dfrac{22}{7}\times 8\times (7+8)}$

$\tt{\rightarrow 2\times\dfrac{22}{7}\times 8\times 15}$

$\tt{\rightarrow\dfrac{5280}{7}}$

= 754.286 cm²