व्यास 50 cm और ऊंचाई 75 cm के एक ठोस सिलेंडर की सभी सतहों पर क्रोम-प्लेटेड करने की आवश्यकता है, यदि क्रोम प्लेटिंग की लागत प्रति cm2 1 रु. है तो क्रोम प्लेटिंग की कुल लागत ज्ञात कीजिए। मान लीजिए π = 3.14

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ISRO LPSC Technical Assistant Mechanical 4 March 2018 Official Paper
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  1. Rs. 15700
  2. Rs. 31400
  3. Rs. 47100
  4. Rs. 20400

Answer (Detailed Solution Below)

Option 1 : Rs. 15700
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ISRO Technical Assistant Mechanical Full Mock Test
80 Qs. 80 Marks 90 Mins

Detailed Solution

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संकल्पना:

सिलेंडर का कुल पृष्ठ क्षेत्रफल = (वक्राकार सतह का क्षेत्रफल) + (सिलेंडर का शीर्ष और आधार वृत्त)

जहाँ R = सिलेंडर की त्रिज्या, L = सिलेंडर की लंबाई

कुल लाग = (1 cm2 क्षेत्र के प्लेटिंग की लागत) × (कुल पृष्ठ क्षेत्रफल)

गणना:

दिया गया है:

D = 50 cm, L = 75 cm, प्लेटिंग की लागत = Rs. 1 /cm2

A = 11780.97 + 3926.99

A = 15707.96 cm2

कुल लागत = 1 × 15707.96

कुल लागत = Rs. 15707.96

इस प्रकार क्रोम प्लेटिंग की लागत 15707 रु होगी।

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