Question

The circumference of the Base of cylinder is 132 cm and it's height 25cm. Find the volume of the cylinder. ​

Answer 1

$\huge \underline\textbf{Answer}$

$\pink{\bold{Let\:r\:cm\:be\:the\:radius\:of\:the\:cylinder}}$

Then,

⠀⠀⠀⠀⠀Circumference = 132 cm

☞⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀2πr = 132

☞⠀⠀⠀⠀⠀⠀⠀2 × $\frac{22}{7}$ × r = 132

☞⠀⠀⠀⠀ r = $\frac{132 \times 7}{2 \times 22}$cm => r = 21 cm

We have, h = height of the cylinder = 25 cm

∴ Volume of the cylinder = ${πr}^{2}h \: = ( \frac{22}{7} \times 21 \times 21 \times 25) {cm}^{3} = 34650 {cm}^{2}$

Hence, your answer is $\sf\small\underline\orange{36650\:{cm}^{2} }$

Answer 2

Answer:

Step-by-step explanation:

first, we have to find r

2πr= 132 cm

2 x 22/7 x r= 132 cm

r= 132 x 7/2 x 22

r = 21 cm

height= 25 cm

now let's find volume of cylinder= πr^2h

volume = 22/7 x 21 x 21 x 25

volume = 35,650 cm2