The diagonal of the axial section of the cylinder is 10, and the base diameter is 6 cm.
| May 26, 2021 | education
The diagonal of the axial section of the cylinder is 10, and the base diameter is 6 cm. find the length of the generating cylinder.
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:
AC ^ 2 + CB ^ 2 = AB ^ 2
CB = √ (AB ^ 2 – AC ^ 2)
CB = √ (10 ^ 2 – 6 ^ 2) = √ (100 – 36) = √64 = 8
the generatrix of the cylinder is 8 cm.
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