Calculate the volume of the trunk, the height of which is 26.0 m, and the diameter of the cross-section

Calculate the volume of the trunk, the height of which is 26.0 m, and the diameter of the cross-section at half height is 20.5 cm. The length of the trunk without the tip is 23 m, the diameter of the base of the tip is 5.5 cm.

Find the volume of the trunk without apex. The area of the middle section will be equal to:

π * 20.5 ^ 2/4 = 330 cm ^ 2 = 0.033 m ^ 2.

Then its volume will be:

0.033 * 23 = 0.759 m ^ 3.

The top of the tree is a cone with a height:

26 – 23 = 3 m.

Then its volume is equal to:

1/12 * 3.14 * 0.055 * 3 = 0.043 m ^ 3.

The total volume of the wellbore is equal to the sum of the calculated volumes:

0.759 + 0.043 = 0.8 m ^ 3.

Answer: the required volume is 0.8 m ^ 3.



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