First, we need to find the volume of oil in the cylindrical tin. The formula for the volume of a cylinder is V = πr^2h, where r is the radius and h is the height.
Given the diameter of the cylindrical tin is 12cm, the radius (r) is half of the diameter, so r = 12/2 = 6cm.
So, the volume of oil in the cylindrical tin is V = π(6)^2(14) = 504π cm^3.
Next, we need to find the depth of the oil in the rectangular tin. The formula for the volume of a rectangular tin is V = lwh, where l is the length, w is the width, and h is the height.
Given the length of the rectangular tin is 16cm and the width is 11cm, the area of the base is A = l*w = 16*11 = 176 cm^2.
Now, to find the depth of the oil in the rectangular tin, we divide the volume of the oil in the cylindrical tin by the area of the base of the rectangular tin:
Depth = (504π cm^3) / (176 cm^2) ≈ 9.07 cm.
Therefore, the depth of the oil in the rectangular tin is approximately 9.07 cm.
a cylindrical tin full of engine oilhas a diameter of 12cm and a height of 14cm. the oil is poured into a rectangular tin 16cm long and 11cm wide. what is the depth of the oil in the tin?
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