#### 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 cm^{3}

Capacity of test tube is 46.05 cm^{3}.

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#### APPEARS IN

Solution 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 Concept: Surface Area of a Combination of Solids.