Question

A solid cylinder has a total surface ares 462cm^ its curved surface area is 154cm^ find the wieght of cylinder

Answer 1

Step-by-step explanation:

Let r cm be the radius of the base and h cm be the height of the cylinder,

Then, total surface area of cylinder = 2πr (r + h)

Curved surface area of cylinder = 2πrh

We have,

Curved surface area = 1/3(Total surface area) = 1/3 x 462 cm2 = 154 cm2

⇒ 2πrh = 154

Also, 2πrh + 2πr2 = 462 ⇒ 154 + 2πr2 = 462

⇒ 2πr2 = 462 - 154 = 308 cm2

2 x 22/7 x r2 = 308

⇒ r2 = 308 x 7/2 x 22 = 72 ⇒ r = 7 cm

Again 2πrh = 154 ⇒ 2 x 22/7 x 7 x h = 154

⇒ h = 154/2 x 22 = 7/2 cm

Volume of the cylinder = πr2h

= 22/7 x 7 x 7 x 7/2 = 539 cm3

Answer 2

Answer:

539

Step-by-step explanation:

please refer the above

hope it helps