Question

A solid cylinder has total surface area of 462 cm2. Its curved surface area is one third of its total surface area. Find the radius and height of cylinder.
(Please answer fast. No spams)

Answer 1

Answer:

Your answer is:-

Step-by-step explanation:

Total surface area of a cylinder = 462 cm2

As per given statement:

Curved or lateral surface area = 1/3 (Total surface area) ⇒ 2πrh = 1 /3 (462)

⇒ 2πrh = 154 ⇒ 2 x 22 7 227 x r x h = 154

⇒ h = 49 /2 r ….(1)

Again,

Total surface area = 462 cm2

2πr(h + r) = 462

2πr( 49 /2 r ) = 462

or 49 + 2r2 = 147

or 2r2 = 98

or r = 7

Substitute the value of r in equation (1),

h = 49/ 2 (7)

= 49 /14

= 7 /2

Height (h) = 7 /2 cm

Radius = 7 cm and height = 7 /2 cm of the cylinder