when is form in the hemisphere ball surrounded by the hollow cylinder diameter of the hemisphere is 21 cm and total height of The vessel is 14.5 cm find the capacity
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Diameter of hemisphere = 21 cm
∴ its radius= 21/2 cm
since , radius of hemisphere = height of hemisphere = 21/2 cm
total height = 14.5 cm
height of hemisphere = 21/2 cm
therefore , height of cylinder = total height - height of hemisphere
=> height of cylinder = 14.5-21/2 =(29-21)/2 cm = 7/2 cm
base of cylinder is upon open hemisphere ,
=> radius of hemisphere = radius of cylinder
capacity of vessel = capacity of hemisphere + capacity of cylinder
=> capacity of vessel = 2/3πr³+πr²h
=> capacity of vessel = (2/3 × 22/7× 21/2 × 21/2 × 21/2) + (22/7 × 21/2 × 21/2 × 7/2)
=> capacity = (407,484/168) + (67,914/56)
=> capacity = 2425.5+1212.75
=> capacity = 3638.25 cm³
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