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ICSE Class 10 Answered

A cubodial block of side 7cm is surmounted by a hemisphere. What is the largest diameter that the hemisphere can have? Also find the surface area of the solid.

Asked by jaiswalsindhuli717 | 20 Oct, 2018, 01:57: PM
Expert Answer
From the figure greatesr possible diameter for such hemeisphere is equal to cube's edge is 7 cm
Radius of hemispherical part = r = 7/2 = 3.5 cm
Total surface area of solid = Surface area of cubical part + Curved surface area of hemispherical part - area of base of hemispherical part
= 6 × 72 + 2∏r2 - ∏r2 
= 6 × 72 + ∏r2
Solving it we get 
= 332.5 cm2 
Answered by Sneha shidid | 22 Oct, 2018, 11:41: AM
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