Maths-
General
Easy
Question
A Cylindrical tube open at both ends is made of metal. The internal diameter of the tube is 11.2 cm, and its length is 21 cm. The metal everywhere is 0.4 cm. Calculate the volume of the metal correct to 1 place of decimal.
Hint:
We simply calculate the volume of tube with metal and without metal. Then subtract the volume without metal from with metal to get the volume of metal.
The correct answer is: The volume of metal is 306.2 cm3.
Explanations:
Step 1 of 3:
Given, Internal diameter = 11.2cm; therefore, Internal radius, r = 11.2/2 = 5.6cm
Length of the tube, h = 21cm
Volume of internal cylinder = 
cm3
Step 2 of 3:
External radius = R = (5.6+0.4) = 6 cm
Volume of internal cylinder = 
Step 3 of 3:
volume of metal = volume of external diameter – volume of internal diameter
= 2376 – 2069.76
= 306.24 cm3
= 306.2 cm3 (correct up to one decimal place)
Final Answer:
The volume of metal is 306.2 cm3.
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