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

Answer 1

Step-by-step explanation:

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^3C=πr2h+32πr3

C=\pi r^2(h+\frac{2}{3}r)C=πr2(h+32r)

C=(3.14) 1^2(14+\frac{2}{3}(1))C=(3.14)12(14+32(1))

C=(3.14)(14+\frac{2}{3})C=(3.14)(14+32)

C=(3.14)(14.6)C=(3.14)(14.6)

C=46.05cm^3C=46.05cm3

The capacity of the tube is 46.05 ml.

Answer 2

Answer:

49  5/21 cm³

Step-by-step explanation:

Volume of lower portion = 2/3 πr³ = 2/3 * 22/7 * 1 cm³ = 44/21 cm³

Volume of cylinder = πr²h = 22/7 * 1 * 15 = 330/7 cm³

Total volume/capacity = (44 + 990)/21 = 1034/21 = 49  5/21 cm³

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