A laboratory test tube in the shape of a right circular cylinder surmounted on a hemisphere of diameter 7cm. If the total height of the test tube is 10.5cm, calculate the capacity of the vessel to the nearest [tex]cm^{3}[/tex]
A laboratory test tube in the shape of a right circular cylinder surmounted on a hemisphere of diameter 7cm. If the total height of the test tube is 10.5cm, calculate the capacity of the vessel to the nearest [tex]cm^{3}[/tex]
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The capacity of the test tube is 358.8 cm³
Step-by-step explanation:
A laboratory test tube in the shape of a right circular cylinder surmounted on a hemisphere
diameter of the tube = 7 cm
radius of the tube = 3.5 cm
total height of the tube= 10.5 cm
radius of hemisphere = height of the hemisphere = 3.5 cm
then height of the cylindrical part = 10.5 - 3.5 = 7 cm
then
capacity of the tube = volume of cylinder + volume of hemisphere
capacity of the tube =
=
= 269.5 + 89.3
= 358.8 cm³
hence ,
The capacity of the test tube is 358.8 cm³
#Learn more:
A test tube has diameter 20mm and height 15cm the lower portation is hemisphere then capacity of test tube is:
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