Question

the total surface of cylinder is 2464? The height and radius of the cylinder are equal find the radius of its base

Answer 1

hiii!!!

here's ur answer...

given that the height and Radius of the cylinder are same.

let the radius be x, therefore height is also x.

TSA of the cylinder = 2464unit²

=> 2πr ( h + r ) = 2464unit²

=> 2 × 22/7 × x ( x + x ) = 2464unit²

=> 44/7 × x × 2x = 2464unit²

=> 2x² = 2464/1 × 7/44

=> 2x² = 56 × 7

=> 2x² = 392

=> x² = 392/2

=> x² = 196

=> x = √196

=> x = 14unit

hence, radius of the cylinder = x

= 14 unit

height of the cylinder is also x

= 14 unit

VERIFICATION:-

TSA of the cylinder = 2πr ( h + r )

= 2 × 22/7 × 14 ( 14 + 14 )

= 44 × 2 × 28

= 2474unit²

hence verified

hope this helps u..!!