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ICSE Class 10 Answered

A buoy is made in the form of a hemisphere surmounted by a right cone whose circular base coincides with the plane surface of the hemisphere. The radius of the base of the cone is 3.5 meters and its volume is 2/3 of the hemisphere. Calculate the height of the cone and the surface area of the buoy correct to 2 decimal places. 
Asked by jaiswalsindhuli717 | 20 Oct, 2018, 04:14: PM
answered-by-expert Expert Answer
Cone : h = height and d = 7 m and r = 3.5 m
Hemisphere : r = 3.5 m
According to the question,
begin mathsize 16px style 1 third straight pi cross times 3.5 squared straight h equals 2 over 3 cross times 1 half cross times 4 over 3 straight pi cross times 3.5 cubed
solving space it space we space get space straight h space equals space 4.67
Total space surface space area space of space solid equals πrl plus 1 half cross times 4 πr squared equals 141.17 space cm squared end style
Answered by Sneha shidid | 22 Oct, 2018, 12:14: PM