Question

The curved surface area of the cylinder is 1760cm2

and its volume is 12320cm3

. Find its height​

Answer 1

Step-by-step explanation:

Given, volume (v) of a cylinder = 12320 cm². ♠ But, C.S.A of any cylinder = 2πrh, where π = 22/7, r is the radius, h is the height. °• Height of the cylinder = h = 20 cm.

Answer 2

Given:

• Curved surface area of the cylinder is 1760cm².
• Volume of the cylinder is 12320cm³.

To find:

Height of the cylinder.

Solution:

$C.S.A \: of\: cylinder = 2πrh = 1760$

$Volume\: of \:cylinder = \pi{r}^{2}h =12320$

$\sf\dfrac{πr ^{2}h}{2πrh } = \sf\dfrac{r}{2} = \sf\dfrac{12320}{1760 } = r = 14cm$

So,

$\sf\dfrac{1760}{2\pi{r}} = \sf\dfrac{1760}{2 \times \pi \times 14} = 20cm$

$\therefore \underline{\boxed{\textbf{\textsf{\pink{Height\:of\:cylinder = 20cm}}}}}$