Question

if lsa of a cylinder is 110 cm^2 and height is 5cm .find volume of cylinder​

Answer 1

Answer:

If lateral surface area of a cylinder is 110 sq. cm and height is 5cm, then the volume of the cylinder​ is  4816.87 cu. cm.

Step-by-step explanation:

Given, Height (h) = 5cm

And lateral surface area = 110 sq. cm.

⇒Let radius = r

(i) Lateral surface area and cylinder =2πrh

2πrh = 110 sq. cm.

2 × π × r× 5cm = 110

⇒ π× r = 110÷ 2

⇒ π× r = 55

r = 55/π

(ii) Volume of cylinder =$\pi r^2h$

  $\pi (\frac{55}{\pi } )^2\times 5\\= \frac{3025}{\pi } \times 5\\ = \frac{3025}{3.14 } \times 5\\=\frac{15125}{3.14} \\= 4816.87 cubic cm$

So, the volume of a cylinder is 4816.87 cu. cm.