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Maharashtra State BoardSSC (English Medium) 9th Standard

The inner diameter of a well is 4.20 metre and its depth is 10 metre. Find the inner surface area of the well. Find the cost of plastering it from inside at the rate Rs.52 per sq.m. - Geometry

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Question

The inner diameter of a well is 4.20 metre and its depth is 10 metre. Find the inner surface area of the well. Find the cost of plastering it from inside at the rate Rs.52 per sq.m.

Sum

Solution

Inner radius of the well, r = `4.2/2`= 2.1 m

Depth of the well, h = 10 m

∴ Inner surface area of the well = 2πrh

= `2 xx 22/7 xx 2.1 xx 10`

= 132 m2

Rate of plastering = Rs 52/m2

∴ Cost of plastering the well from inside
= Inner surface area of the well × Rate of plastering

= 132 × 52

= ₹ 6,864

Thus, the inner surface area of the well is 132 m2 and the cost of plastering the well from inside is ₹ 6,864.

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Chapter 9: Surface Area and Volume - Problem Set 9 [Page 123]

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Balbharati Geometry (Mathematics 2) [English] 9 Standard Maharashtra State Board
Chapter 9 Surface Area and Volume
Problem Set 9 | Q 8. | Page 123

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