Hemispherical hollow

The vessel hemispherical hollow is filled with water to a height of 10 cm =. How many liters of water are inside if the inside diameter of the hollow is d = 28cm?

Correct result:

V =  3.351 l

Solution:

v=10 cm→ dm=10/10  dm=1 dm D=28 cm→ dm=28/10  dm=2.8 dm  r=D/2=2.8/2=75=1.4 dm r1=r2−(r−v)2=1.42−(1.4−1)2≐1.3416 dm  1 l=1dm3 V=16⋅ π⋅ v⋅ (3⋅ r12+v2)=16⋅ 3.1416⋅ 1⋅ (3⋅ 1.34162+12)=3.351 l

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