Math, asked by sujalgpta420, 25 days ago

Write the total surface area of the hemisphere of sphere of radius 'r.​

Answers

Answered by MsPoisonous
4

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Total surface area of a solid hemisphere with radius r is, S=2πr2+πr2=3πr2

Answered by dimplerajak15
1

Answer:

Total surface area of solid hemisphere = 3πr².

Step-by-step explanation:

surface area of a solid sphere with radius r = 4πr².

A solid sphere can be divided into two equal hemispheres with a flat surface and a curved surface.

Curved surface area of a solid hemisphere will be half the surface area of solid sphere.

hence, curved surface area of a solid hemisphere = 1 × 4πr² = 2πr².

2

And, flat surface area of hemisphere will be the area of circle with radius r.

Hence, flat surface area of hemisphere = πr².

Total surface area of a solid hemisphere with radius r is ,

S = 2πr² + πr²

S = 3πr² .

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