Question

Find the total surface area of a hemisphere of radius 22cm

Answer 1

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please refer to the image

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Answer 2

Given: radius = 22 cm

To find: area of a hemisphere

Step-by-step explanation:

Hemisphere is one-half part of the sphere, the curved surface area is also one half of the sphere. To find the total surface area of the hemisphere, it is a sum of the curved surface area of hemisphere or area of the base circle.  

The total surface area of hemisphere = curved surface area + Area of the base circle

                                                               = $2\pi r^2+\pi r^2$

                                                               = $3\pi r^2$

According to question

Now use formula to find total surface area of a hemisphere = $3\pi r^2$

                                                                                                 = $3\times\frac{22}{7}\times22\times22$

                                                                                                 = $\frac{66\times484}{7}$

                                                                                                  = $\frac{31944}{7}$

                                                                                                 = 4563.42 cm