Question

The volume of a metallic cylindrical pipe is 748 cm. Its length is 14 cm and its
external radius is 9 cm. Find its thickness.
maofvlinder is 150 ccm and its bei​

Answer 1

$\mathbf\blue{CORRECT \: QUESTION \: :}$

The volume of a cylindrical pipe is 748 cm³. Its length is 14 cm and its external radius is 9 cm. find its thickness.

$\mathbf\red{ANSWER \: :}$

GIVEN :

• The volume of a metallic cylindrical pipe is 748 cm³.
• Length = 14 cm.
• External radius = 9 cm.

TO FIND :

• Thickness = ?

FORMULAS USED :

• πh (R² - r²)

SOLUTION :

Here,

External radius (R) = 9 cm.

Internal radius (r) = 8 cm.

Volume of pipe = πh (R² - r²)

$\implies$ 748 = 22/7 × 14 (9² - r²)

$\implies$ 748 = 4 (9² - r²)

$\implies$ 17 = 9² - r²

$\implies$ 17 = 81 - r²

$\implies$ r² = 81 - 17

$\implies$ r² = 64

$\implies$ r = √64

$\implies$ r = 8 cm.

Now,

Thickness = R - r

= 9 - 8

$\therefore$ Thickness = 1 cm.