Awell is dug 14m deep. its radius is 2 metre. the earth dug out evenly spread out on a rectangular field of dimension 10m×4 m .find the height of platform raised.

4.4m

Step-by-step explanation:

0.1895 m OR 18.95 cm

Step-by-step explanation:

Given, Well -  r = 5.6 m

                      h = 20 m

           Field - l = 150 m

                      b = 70 m

∵ Volume of well = π r² h              [Because well is cylindrical]

⇒ V = (22 / 7) * 5.6 * 5.6 * 20         [Let π = (22 / 7)]

⇒ 7V  = 22 * 5.6 * 5.6 * 20             [Multiplying both sides by 7]

⇒ 7V =  13798.4

⇒ V = 13798.4 / 7 = 1971.2 m³

∵ Volume of well = Volume of earth dug out

So, Volume of earth dug out = 1971.2 m³

As the question says that the earth dug out is evenly spread on the remaining part of the field,

⇒ Remaining part = Area of field - Area of well

⇒ R = 150 * 70 - π  * 5.6 * 5.6          [Let R be the remaining part]

⇒ R = 10500 - (22 / 7) * 5.6 * 5.6

⇒ R = 10500 - 98.56

⇒ R = 10401.44 m²

Hence, the rise in level of field = (Volume of earth dug out) / R

⇒  r = 1971.2 / 10401.44

⇒ r ≈ 0.1895 m OR 18.95 cm                

11÷9

Step-by-step explanation:

20×5•5×4=440

12×30=360

440÷360=11/9

2m

Step-by-step explanation:

Find the area of the rectangle:

Area = Length x Breadth

Area = 35 x 22 = 770 m²

Find the area of the well:

Area = πr²

Area = π(14 ÷ 2)² = 154 m²

Find the area of the rectangle without the well:

Area = 770 - 154  = 616 m²

Find the amount of earth dug:

Volume = πr²h

Volume = π(14 ÷ 2)²(8) = 1232 m³

Find the raise in height:

Raise = Volume ÷ area

Raise = 1232 ÷ 616 = 2 m

There is a rise of 2m.

2m

Step-by-step explanation:

Find the area of the rectangle:

Area = Length x Breadth

Area = 35 x 22 = 770 m²

Find the area of the well:

Area = πr²

Area = π(14 ÷ 2)² = 154 m²

Find the area of the rectangle without the well:

Area = 770 - 154  = 616 m²

Find the amount of earth dug:

Volume = πr²h

Volume = π(14 ÷ 2)²(8) = 1232 m³

Find the raise in height:

Raise = Volume ÷ area

Raise = 1232 ÷ 616 = 2 m

There is a rise of 2m.

Area of rectangle =35×22=770

Height=770÷14×8=440 cm

4.4m

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HEY MATE,ACC. TO YOUR QUESTION,

well!!! height of well =14m and radius=2m

so, volume of dug out earth= πr^2h

=π2×2×14

=22×4×14/7

=176m^3

as we know that volume of dig out earth=volume of reactangular field

so, l×b×h=176m^2

or 10×4×h=176m^2

or h=176/40

.•. height=4.4m answer

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