Question

A test tube has diameter 20mm and height 15cm the lower portation is hemisphere then capacity of test tube is:

Answer 1

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Answer 2

Answer:

The capacity of the tube is 46.05 ml.

Step-by-step explanation:

Given : A test tube has diameter 20mm and height 15cm the lower portion is hemisphere.

To find : The capacity of test tube is?

Solution :

Diameter = 20mm = 2cm

Radius = 1 cm

Height of the test tube is h=15 cm

Height of the cylindrical part is h=15-1=14 cm

Capacity of the tube = Volume of cylindrical part + volume of hemispherical part

$C=\pi r^2h+\frac{2}{3}\pi r^3$

$C=\pi r^2(h+\frac{2}{3}r)$

$C=(3.14) 1^2(14+\frac{2}{3}(1))$

$C=(3.14)(14+\frac{2}{3})$

$C=(3.14)(14.6)$

$C=46.05cm^3$

The capacity of the tube is 46.05 ml.