from a right circular cylinder of height 10cm and radius 6cm a right circular cone of same radius and height is removed. find the volume of the remaining solid. pls answer immediately as tomorrow is my exam

Asked by archita123 | 28th Feb, 2015, 03:45: PM

Expert Answer:

L e t space t h e space v o l u m e space o f space t h e space c y l i n d e r space b e space V subscript c y l i n d e r end subscript space a n d space t h e v o l u m e space o f space t h e space c o n e space b e space V subscript c o n e end subscript R a d i u s space o f space t h e space c y l i n d e r space a n d space c o n e equals 6 space c m H e i g h t space o f space t h e space c y l i n d e r space a n d space c o n e equals 10 space c m T h u s comma space V subscript c y l i n d e r end subscript equals straight pi cross times straight r squared cross times straight h straight V subscript straight c straight o straight n straight e end subscript equals 1 third straight pi cross times straight r squared cross times straight h Volume space of space the space remaining space solid equals straight pi cross times straight r squared cross times straight h minus 1 third straight pi cross times straight r squared cross times straight h space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals straight pi cross times straight r squared cross times straight h open parentheses 1 minus 1 third close parentheses space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals straight pi cross times straight r squared cross times straight h open parentheses fraction numerator 3 minus 1 over denominator 3 end fraction close parentheses space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals straight pi cross times straight r squared cross times straight h open parentheses 2 over 3 close parentheses space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 22 over 7 cross times 6 squared cross times 10 cross times open parentheses 2 over 3 close parentheses space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 22 over 7 cross times 36 cross times 10 cross times open parentheses 2 over 3 close parentheses space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 22 over 7 cross times 12 cross times 10 cross times 2 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 754.29 space c m cubed

Answered by Vimala Ramamurthy | 28th Feb, 2015, 07:22: PM