Sarthaks APP
0 votes
in Surface Areas And Volumes by (29.4k points)
closed by

The ratio between the curved surface area and the total surface area of a right circular cylinder is 1 : 2. Find the volume of the cylinder, if its total surface area is 616 cm2.

2 Answers

+1 vote
by (30.4k points)
selected by
Best answer


and, total surface area of cylinder = 616 cm2

= h = r

So, 2πr(h + r) = 616

= 2πr(2r) = 616

= 49

= r = \(\sqrt{49}\) = 7 cm

Hence, volume of cylinder = πr2h

\(\cfrac{22}7\times\)49\(\times\)7 = 1078 cm3

+1 vote
by (2.4k points)

CSA= 2πrh
TSA= 2(πrh+πr2)
by simplifying we'll get h=r......(1)
now 2(πrh+πr2)= 616 
put h=r from 1
we'll get 
solving it will give 
and V=πr2h
putting values will give us
V=1078 cm3

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.