Question #151330
The government has policy to make a highway as soon as possible. So, the constructor used the heavy machine instead of using man labour. A machine operator dug out a field in the shape of circular having radius 3 m and some depth 10 m. answer the following question.
A. When the machine operator dug out the field in the given dimension , the three dimensional shape of the digging area is ?
B. Find the volume of the soil .
C. How much cover area of the field dug out ?
D. Find the total inner surface area of the digging field.
E. If the cost of digging out of 1 cubic metre field is Rs 50 . find the total cost of complete digging out field.
1
Expert's answer
2020-12-16T20:03:44-0500

A. Cylinder


B. Volume of a cylinder =πr2h\pi r^2h\\

=227×32×10=282.8571419m3282.857m3=\frac{22}{7}\times 3^2 \times 10\\ =282.8571419m^3\\ \approx 282.857m^3

C. The cover area of the field dug out is πr2\pi r^2. Since the cover is circular.

=227×32=28.2857m228.29m2=\frac{22}{7} \times 3^2\\ =28.2857m^2\\ \approx 28.29m^2

D. Total inner surface area =2πr(r+h)=2.227.3(3+10)=245.14286m2245.14m2=2\pi r(r+h)\\ =2.\frac{22}{7}.3(3+10)\\ =245.14286m^2\\ \approx 245.14m^2

E. 1m3=Rs50282.857m3=282.857×Rs50=Rs14142.851m^3=Rs50\\ 282.857m^3=282.857\times Rs50\\ =Rs14142. 85


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