Sarthaks APP
0 votes
in Mathematics by (11.0k points)

A vessel is in the form of a hollow hemisphere mounted by a hollow cylinder. The diameter of the hemisphere is 14 cm and the total height of the vessel is 13 cm. Find the inner surface area of the vessel.[Use π = 22/7]

1 Answer

0 votes
by (18.2k points)
selected by
Best answer

It can be observed that radius (r) of the cylindrical part and the hemispherical part is the same (i.e., 7 cm).

Height of hemispherical part = Radius = 7 cm

Height of cylindrical part (h) = 13 −7 = 6 cm

Inner surface area of the vessel = CSA of cylindrical part + CSA of hemispherical part

= 2 πrh + 2π r2      

Inner surface area of vessel 

= 2 x 22/7 x 7 x 6 +2 x 22/7 x 7 

= 44(6+7)

= 44 x 13

= 572 cm2

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.