the volumes are equal
π * (12/2)^2 * 14 = d * 16 * 11
A cylindrical tin full of engine oil has 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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The volume doesn't change, so if the oil has depth h, then
16*11*h = π*6^2*14
16*11*h = π*6^2*14
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Volume of cylinder=πr2h
22÷7 ×(6)2×14
22×36×2
1584cmcubic
Area of rectangle=l ×w
16cm×11cm
176cmsquare
22÷7 ×(6)2×14
22×36×2
1584cmcubic
Area of rectangle=l ×w
16cm×11cm
176cmsquare
Since the volume of the cylinder and the volume of the rectangular tin are the same, we can equate them.
Volume of cylinder = volume of rectangular tin
π(6)^2(14) = 16(11)d
Simplifying this expression gives:
π(6)^2(14)/16(11) = d
d ≈ 5.44 cm
Therefore, the depth of the oil in the rectangular tin is approximately 5.44 cm.
Volume of cylinder = volume of rectangular tin
π(6)^2(14) = 16(11)d
Simplifying this expression gives:
π(6)^2(14)/16(11) = d
d ≈ 5.44 cm
Therefore, the depth of the oil in the rectangular tin is approximately 5.44 cm.