Question

curved surface area of right circular cylinder is always greater than its total surface area (true/false)​

Answer 1

Step-by-step explanation:

false............ total surface includes top and bottom surface also so it will be greater

Answer 2

Answer:

Let, the original radius be r cm and original height be h cm

Curved Surface Area of the cylinder =2πrh

For New Cylinder,

New Radius r

1

=2r cm

Curved Surface Area of the cylinder =2πrh

Let, New height be h

1

cm

Now, according to question

2πrh=2πr

1

h

1

⇒rh=2rh

1

⇒h

1

=

2

h

This proves that height must be halved to have the same curved surface area.