The height of the cylinder is perpendicular to its bases, then the ACD triangle is rectangular.
Let us define the legs AD in the triangle ACD by the Pythagorean theorem.
AD ^ 2 = AC ^ 2 – CD ^ 2 = 13 ^ 2 – 5 ^ 2 = 169 – 25 = 144.
AD = 12 cm.
Determine the radius of the circle at the base of the cylinder.
R = ОА = АD / 2 = 12/2 = 6 cm.
Determine the area of the base of the cylinder.
Sop = n * R ^ 2 = n * 6 ^ 2 = n * 36 cm2.
Determine the volume of the cylinder.
V = Ssc * CD = n * 36 * 5 = n * 180 cm3.
Answer: The volume of the cylinder is n * 180 cm3.
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.