Solid immersed in a cylindrical vessel: rise in water level = solid volume / base area

This type of question, asked 5 times: CDS 2 2017, CDS 1 2021, CDS 1 2022, CDS 2 2023, CDS 1 2026. All 5 questions below, oldest first.

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Question 1
CDS 2 2017
71 $A cylindrical vessel 60 cm in diameter is partially filled with water. A sphere 30 cm in diameter is gently dropped into the vessel and is completely immersed. To what further height will the water in the cylinder rise ?$
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Question 2
CDS 1 2021
72 $A sphere of diameter 6 cm is dropped into a cylindrical vessel partly filled with water. The radius of the vessel is 6 cm. If the sphere is completely submerged in water, then by how much will the surface level of water be raised?$
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Question 3
CDS 1 2022
70 $A tall cylindrical container with circular base of radius 18 cm contains a good quantity of water. Metal balls each of radius 0.9 cm are immersed in it. How many balls are required to raise the water level by 3 cm?$
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Question 4
CDS 2 2023
81 $A sphere of radius 5 cm is dropped in a right circular cylindrical vessel partly filled with water. The radius of the cylindrical vessel is 10 cm. If the sphere is completely submerged in water, by how much will the level of water rise in the cylindrical vessel ?$
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Question 5
CDS 1 2026
58 $A sphere of diameter 14 cm is dropped into a cylindrical vessel partly filled with water. The radius of the vessel is 14 cm. If the sphere is completely submerged in water, then how much will the level of water rise ?$
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Question 1