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Find the total surface area of a hemisphere of radius 10 cm

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Detailed Solution

The total surface area of a hemisphere of radius 10 cm is 942 cm².

Formula

Total Surface Area (TSA) of a hemisphere = 3πr²

Step-by-Step Calculation

Radius (r) = 10 cm
Formula = 3πr²
= 3 × 3.1416 × (10)²
= 3 × 3.1416 × 100
= 942.48 cm² (approx.)

Explanation

A hemisphere has two surfaces: the curved surface and the flat circular base.
The curved surface area = 2πr².
The area of the base = πr².
Total surface area = 2πr² + πr² = 3πr².

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