The volume of the metallic cylindrical pipe is 748 cm 3 . Its length is 14 cm…

Step 1: The volume of a hollow cylinder (pipe) is given by the formula:

Volume = π × (R² - r²) × h

where R is the external radius, r is the internal radius, and h is the height (length).

Step 2: Substitute the given values:

Volume = 748 cm³, R = 9 cm, h = 14 cm

So, 748 = π × (9² - r²) × 14

Step 3: Simplify the equation:

748 = π × (81 - r²) × 14

748 = (22/7) × (81 - r²) × 14

748 = 22 × 2 × (81 - r²)

748 = 44 × (81 - r²)

Step 4: Solve for (81 - r²):

(81 - r²) = 748 / 44 = 17

Step 5: Find r²:

r² = 81 - 17 = 64

Step 6: Find r:

r = √64 = 8 cm

Step 7: Calculate thickness:

Thickness = R - r = 9 - 8 = 1 cm

हिन्दी उत्तर:

चरण 1: खोखले बेलन (पाइप) का आयतन निम्नलिखित सूत्र द्वारा दिया जाता है: आयतन = π × (R² - r²) × h

जहाँ R बाहरी त्रिज्या, r आंतरिक त्रिज्या और h ऊँचाई (लंबाई) है।

चरण 2: दिए गए मानों को रखें:

आयतन = 748 cm³, R = 9 cm, h = 14 cm

इसलिए, 748 = π × (9² - r²) × 14

748 = (22/7) × (81 - r²) × 14

748 = 22 × 2 × (81 - r²)

748 = 44 × (81 - r²)

चरण 3: (81 - r²) का मान निकालें:

(81 - r²) = 748 / 44 = 17

चरण 4: r² निकालें:

r² = 81 - 17 = 64

चरण 5: r निकालें:

r = √64 = 8 cm

चरण 6: मोटाई निकालें:

मोटाई = R - r = 9 - 8 = 1 cm