The inner diameter of a circular well is 3.5 m. It is 10 m deep. Find (i) its inner curved surface area,
The inner diameter of a circular well is 3.5 m. It is 10 m deep. Find
(i) its inner curved surface area,
(ii) the cost of plastering this curved surface at the rate of Rs 40 per m2
2 Answers
Here, r = 3. 5/ 2 m , h = 10 m
(i) Inner curved surface area of the well
= 2πrh = 2 × 22/ 7 × 3. 5 /2 × 10m2
= 22 × 5 m2 = 110 m2 Ans.
(ii) Cost of plastering 1 m2 = Rs 40
∴ Cost of plastering the curved surface area of the well
= Rs 110 × 40 = Rs 4400 Ans
Inner radius (r) of circular well = (3.5/2)m = 1.75m
Depth (h) of circular well = 10 m
Inner curved surface area = 2πrh
= (2 x 22/7 x 1.75 x 10) m2
= (44 x 0.25 x 10) m2
= 110 m2
Therefore, the inner curved surface area of the circular well is 110 m2.
Cost of plastering 1 m2 area = Rs 40
Cost of plastering 100 m2 area = Rs (110 × 40) = Rs 4400
Therefore, the cost of plastering the CSA of this well is Rs 4400.