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9966 [12]
2 years ago
5

Calculate volume of hemisphere with radius 3.2 cm

Mathematics
1 answer:
Olin [163]2 years ago
5 0

Answer:

V ≈ 68.63 cm³

Step-by-step explanation:

the volume (V) of a sphere is calculated as

V = \frac{4}{3}πr³

the volume of a hemisphere is half the volume of a sphere, so

V = \frac{1}{2} × \frac{4}{3} πr³ = \frac{2}{3} πr³ , then

V = \frac{2}{3} π × 3.2³

  = \frac{2}{3} π × 32.768

  ≈ 68.63 cm³ ( to 2 dec. places )

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