Question

The area of the curved surface of a cylinder is 352 sq cm, If the height of a cylinder is 8cm, then find the volume.​

Answer 1

Answer:

given CSA = 352 sq cm, h = 8 cm

to find volume

V = π r² h

CSA = 2πrh = 352

2*22/7*8*r = 352

r = (352 × 7)/(2×22×8)

r = 7 cm

now V = π × 7×7×8

=> 22/7×7×7×8

> 1232 cu cm

Answer 2

$\huge\underline\mathfrak\green{Given:}$

Curved surface area = 352 sq cm.

Height = 8cm

$\rule{300}{2}$

$\huge\underline\mathfrak\blue{To~Find:}$

Volume of the cylinder =?

$\rule{300}{2}$

$\underline\mathtt\pink{Curved ~surface ~area ~of ~a~cylinder (CSA)=2\pi \: r \: h}$

By conditions ,

$352 = 2 \times \frac{22}{7} \times r \times 8$

$\implies 352= \frac{44}{7} \times r \times 8$

$\implies 8 = \frac{1}{7} \times r \times 8$

$\implies 8r=56$

$\implies r = \cancel \frac{56}{8}$

$\implies r = 7 cm$

$\rule{300}{2}$

Now, the volume of the cylinder is

=$\pi {r}^{2} h$ cm³

$=\frac{22}{7} \times 7 \times 7 \times 8$ cm³

$= 22 \times 7 \times 8$cm³

$=22 \times 56$cm³

$=1232$ cm³

Therefore, the volume of the cylinder is 1232cm³.

$\rule{300}{2}$

$\huge\underline\mathfrak\red{ThankYou}$