MBApyq

Cost of painting pillars

CMAT 2019 · Quantitative Techniques & Data Interpretation · Easy · Mensuration

All CMAT 2019 questionsMore Mensuration questionsAll CMAT QTDI

In a building there are 3030 cylindrical pillars. The radius of each pillar is 35 cm35\text{ cm} and height is 5 m5\text{ m}. Find out the cost of painting the curved surface of half the number of pillars. The rate of painting is Rs. 10 per m210\text{ per m}^2.

  1. A.

    Rs. 16,500

  2. B.

    Rs. 8250

  3. C.

    Rs. 1650

  4. D.

    Rs. 4125

Answer

C

Explanation

Base radius r=35 cm=0.35 mr = 35\text{ cm} = 0.35\text{ m}, height h=5 mh = 5\text{ m}.

Curved Surface Area (CSA) of 11 pillar =2πrh=2×227×0.35×5=11 m2= 2\pi r h = 2 \times \frac{22}{7} \times 0.35 \times 5 = 11\text{ m}^2.

Half the number of pillars =15= 15.

Total CSA for 15 pillars =15×11=165 m2= 15 \times 11 = 165\text{ m}^2.

Total cost =165×10=Rs. 1650= 165 \times 10 = \text{Rs. } 1650.

Related Mensuration questions

Practise this under exam conditions

Sign in to solve it with a live timer, the on-screen CAT calculator, and streak and accuracy tracking across every question you attempt.

Solve in the workspace