Question

21. If C.S.A. of cylinder of height 7 cm is 176 cm2. Find its volume of cylinder.​

Answer 1

Given:-

C.S.A of cylinder=176sq.cm

Height=7cm

To find

The volume of cylinder

A.T.Q

$\boxed{\sf{C.S.A\:of\: cylinder=2\pi r h}}$

$\boxed{\sf{Volume\:of\: cylinder= \pi r{}^{2} h}}$

Now first find the radius "r"

$\sf\implies 2 \pi r h=176\\ \\ \sf\implies 2\times \dfrac{22}{\cancel7}\times r\times \cancel{7}=176\\ \\ \sf\implies 2\times 22\times r=176\\ \\ \sf\implies 44\times r=176\\ \\ \sf\implies r=\cancel{\dfrac{176}{44}}\\ \\ \sf\implies r=4cm$

Now the volume of cylinder

$\sf\implies Volume =\pi r{}^{2} h\\ \\ \sf\implies Volume =\dfrac{22}{\cancel7}\times 4\times 4\times \cancel{7}\\ \\ \sf\implies Volume =22\times 16\\ \\ \sf\implies Volume =352cm{}^{3}$

$\underline{\dag{\sf{\: Volume\:of\: cylinder=352cm{}^{3}}}}$

Answer 2

Answer:

352.14 cm³

Step-by-step explanation:

CSA = 2πRh = 176

R = 176/(2π*7) = 88/π7

Volume = πR²h = π 88²*7/(π7)²

= 88²/(π7)

= 352.14 cm³