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Doctors Medicines MCQs Q&A

  1. 8 cm
  2. 5 cm
  3. 6 cm
  4. 3 cm
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1 Answers

Option 3 : 6 cm

Given:

Radius × 2 = height

The total cost of painting the whole cylinder = ₹2376

Cost of painting per cm2 = ₹14

Concept used:

Total surface area = Cost of painting whole surface ÷ Cost of painting per unit2

TSA of cylinder = 2πrh + 2πr2 = 2πr × (h + r)

Calculation:

Let radius = x cm and height = 2x cm

TSA = 2πr × (h + r) = Cost of painting whole surface ÷ Cost of painting per unit2

⇒ 2πx × (2x + x) = 2376 ÷ 14

⇒ 6πx2 = 1188/7

⇒ x2 = 9

⇒ x = 3

∴ Radius is 3 cm and Height is 6 cm

[ alt="Cylinder x and 2x" src="//storage.googleapis.com/tb-img/production/20/10/Cylinder%20x%20and%202x.png" style="width: 450px; height: 300px;">

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