Question

if volume of cylinder is 1232 cm square and it's length is 8 cm and find curved surface area.
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Answer 1

Answer:

Given:

$volume \: of \: the \: cylinder= 1232 {cm}^{2}$

$height \: of \: the \: cylinder = 8cm$

To find:

Curved Surface Area-

We know that the volume of a cylinder

$= \pi {r}^{2} h$

$so \: 1232 = \frac{22}{7 } \times r \times r \times 8$

$r { }^{2} = 1232 \times \frac{7}{8 } \\ r = 7cm$

Also we know that curved surface area of cylinder =2πrh

so, Curved surface area

$= 2 \times \frac{22}{7 } \times 7 \times 8 \\ curved \: surface \: area = 252 {cm}^{2}$

We know that total surface area of cylinder =2πr(r+h)

so,

Total surface area

$= 2 \times \frac{22}{7} \times 7(7 + 8)$

Total surface area

$= 2580 {cm}^{2}$