From a solid right circular cylinder with height 8cm and radius of base 6cm a right circular cone of the same height and base is removed . Find the total surface area of the remaining solid.

Asked by suprakash | 17th Jan, 2016, 11:59: AM

Expert Answer:

begin mathsize 14px style h space equals space 8 space c m r space equals space 6 space c m l space equals space square root of h squared plus r squared end root equals square root of 8 squared plus 6 squared end root equals square root of 100 equals 10 C u r v e d space s u r f a c e space a r e a space o f space c y l i n d e r space equals space 2 pi r h space equals space 2 cross times pi cross times 6 cross times 8 equals 96 pi A r e a space o f space o n e space f l a t space b a s e space o f space t h e space c y l i n d e r space equals space pi r squared equals pi cross times 6 squared equals 36 pi C u r v e d space S u r f a c e space a r e a space o f space t h e space c o n e space equals space pi r l space equals space pi cross times 6 cross times 10 equals 60 pi  H e n c e comma space T o t a l space S u r f a c e space a r e a space o f space t h e space r e m a i n i n g space s o l i d space equals space 96 pi space plus space 36 pi space plus space 60 pi equals space 192 pi equals space 192 space cross times space 3.14 equals space 602.88 space s q. space c m end style

Answered by Kajal Gupta | 18th Jan, 2016, 01:56: AM