Question

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

Answer 1

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