a toy is in the shape of smaller solid hemisphere mounted on a bigger solid hemisphere. radius of bigger hemisphere is 2 cm and that of the smaller is 1 cm. find the total surface area of the toy
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Answer:
The total surface area of the toy 40.82 cm²
Step-by-step explanation:
Formula
Total surface are of hemisphere = 3πr²
Curved surface are of hemisphere = 2πr²
Let r₁ and r₂ be the radius of large and smaller hemisphere.
From the figure attached with this answer shows the toy
To find the surface area of toy
Surface area of toy =Total surface area of large hemisphere + curved surface area of small hemisphere - base area of small hemisphere
Total surface area of large hemisphere = 3πr₁²
curved surface area of small hemisphere =2πr₂²
base area of small hemisphere = πr₂²
Surface area of toy = 3πr₁² + 2πr₂² - πr₂²
Surface area of toy = 3πr₁² + πr₂² = 3π2² + π1²
= 3π*4 + π*1= 12π + π = 13π = 40.82 cm²
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