A test tube is cylindrical in shape with hemispherical
base of diameter 2 cm as shown in figure 2.
If it is filled with chemical solution up to the
height of 7 cm, then find the volume of
chemical solution in the test tube.
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Given:
A test tube is cylindrical in shape with hemispherical base of diameter 2 cm.
To find:
Find the volume of chemical solution in the test tube.
Solution:
From the given information, we have the data as follows.
A test tube is cylindrical in shape with the hemispherical base of diameter 2 cm. It is filled with a chemical solution up to the
height of 7 cm.
The radius = d/2 = 2/2 = 1 cm
The height = h = 7 cm
The volume of the chemical solution in the test tube is equal to the sum of the volume of the cylinder and the volume of the hemisphere.
The volume of the chemical solution = πr²h + 2/3πr³
= π × 1² × 7 + 2/3 × π × 1³
= 7π + 2/3π
= 23π/3 cm³
Therefore, the volume of chemical solution in the test tube is, 23π/3 cm³
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