Question

A test tube has a diameter of 20 mm and height is 15 cm.Thr lower portion is figure.Find the capacity of the test tube.

Answer 1

$\underline { \pink { Dimensions \: of \: a \: test \:tube : }}$

$Diameter (d) = 20 \:mm$

$Radius (r) = \frac{d}{2} \\= \frac{20}{2} \\= 10 \:mm\\= 10\times \frac{1}{10} \:cm \\= 0.1\: cm$

$Height (h) = 15 \:cm$

$Capacity \: of \: the \:test \: tube (V) \\= \pi r^{2} h \\= \frac{22}{7} \times (0.1)^{2} \times 15 \\= \frac{22}{7} \times 0.1 \times 0.1 \times 15 \\= \frac{3.3}{7} \\= 0.4714 \: cm^{3} \\= 0.4714 \:ml$

$\boxed { \pink { 1\: cm^{3} = 1\:ml }}$

Therefore.,

$\red {Capacity \: of \: the \:test \: tube} \green { =0.4714 \:ml }$

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