The diagonal of the axial section of the cylinder is 10, and the base diameter is 6cm / find the length of the generating cylinder.

univerkov | November 19, 2020 | education

AKBC is the axial section of the cylinder, AB is its diagonal equal to 10 cm.
CB – generatrix of the cylinder.
Consider a right-angled triangle ABC, the length of the side AC is known – 6 cm.
Let’s use the Pythagorean theorem and find the length of the side CB:
AC2 + CB2 = AB2
CB = √ (AB2 – AC2)
CB = √ (102 – 62) = √ (100 – 36) = √64 = 8
the generatrix of the cylinder is 8 cm.

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