Find the area of the axial section of the truncated cone if the radii of its base are 7 cm and 9 dm

univerkov | July 29, 2021 | education

Find the area of the axial section of the truncated cone if the radii of its base are 7 cm and 9 dm, and the height is 3.5 cm.

The axial section of the truncated cone is an isosceles trapezoid, in which the diameters of the cone have its bases, and the generators are the lateral sides of the trapezoid.

Determine the diameters of the circles of the truncated cone.

BC = 2 * BO1 = 2 * 7 = 14 cm.

AD = 2 * AO = 2 * 9 = 18 cm.

Then Savsd = (BC + AD) * OO1 / 2 = (14 + 18) * 3.5 / 2 = 56 cm2.

Answer: The axial section area is 56 cm2.

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