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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. (π = 3.14)
Solution
Radius of test tube (r) = 20/2 = 10 mm = 1 cm
Height of test tube = 15 cm
Upper portion of test tube is cylinder and lower portion of test tube is hemisphere.
Height of cylinder (H)= h-r = 15 - 1 = 14cm
Volume of test tube = Volume of cylinder + Volume of hemisphere
= `pir^2H+2/3pir^3`
= `(3.14)(1)^2(14)+2/3(3.14)(1)^3`
= 43.96 + 2.09
= 46.05 cm3
Capacity of test tube is 46.05 cm3.
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