Solve Question:
A test tube has diameter 20 mm and height is 15 cm. The lower portion is a hemisphere. Find the capacity of the test tube. ![]()
The diagram is given below:

As mentioned in the question the test tube comprises of a cylinder and a hemisphere.
The length(l)and radius(r) of cylinder is 15 & 20 mm respectively.
Capacity of test tube = volume of cylinder + volume of hemisphere.
volume of cylinder = π r2 l
volume of hemisphere = ![]()
Capacity of test tube = π × 202 × 15 +
× π × 203
= 35437.165 mm3.
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