A chord 8 cm long is drawn in the lower base of the cylinder, located at a distance of 3 cm

| May 18, 2021 | education

A chord 8 cm long is drawn in the lower base of the cylinder, located at a distance of 3 cm from the center of this base. Find the axial sectional area of the cylinder if its height is 6 cm.

From the center of the circle O we draw the segments OA and OB. The lengths of the segments are equal to the radius of the circle at the base of the cylinder, then ОА = ОВ = R. Then the triangle ОВ is isosceles, and the height ОН divides the segment AB in half. AH = BH = AB / 2 = 8/2 = 4 cm.

In a right-angled triangle AOH, we determine the length of the hypotenuse OA by the Pythagorean theorem.

OA ^ 2 = OH ^ 2 + AH ^ 2 = 3 ^ 2 + 4 ^ 2 = 9 + 16 = 25.

ОА = 5 cm.

Then the diameter of the circle will be equal to D = AD = 2 * OA = 2 * 5 = 10 cm.

Determine the area of the axial section.

Ssection = AD * OO1 = 10 * 6 = 60 cm2.

Answer: The axial section area is 60 cm2.



One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.