Question

the CSE of cylinder is 176 CM square and its area of base is 38.5 CM square find the volume of the cylinder ​

Answer 1

Answer:

hope it helps in the best way

Answer 2

Given, in a cylinder

CSA = 176cm²

Area of base = 38.5cm²

find the volume of the cylinder

Solution :

According to the Question,

$\rm \pi {r}^{2} = 38.5$

$\rm {r}^{2} = \frac{38.5}{3.14} = 12.26$

$\rm r = \sqrt{12.26}$

$\color{green} \rm r = 3.50cm$

then, Let's find the height of cylinder by using

$\underline{ \boxed{ \rm \color {gold} CSA = 2\pi rh}}$

then, on substituting the values

$\rm2 \times 3.14 \times 3.5 \times h = 176$

$\rm h = \frac{176}{7 \times 3.14}$

$\boxed{ \color{pink} \rm h = 8cm}$

then, now finding volume of cylinder by using

$\underline{ \boxed{ \color{gold} \rm Volume_{(cylinder)} = \pi {r}^{2} h}}$

then, on substituting the values

$\rm⇢ \: \: Volume_{(cylinder)} = \frac{22}{7} \times {3.5}^{2} \times 8$

$\rm⇢ \: \: Volume_{(cylinder)} = 308 {cm}^{3}$

FINAL ANSWER :

VOLUME OF CYLINDER IS 308cm³ .