A regular triangle with a side of 3√3 is inscribed in the base of the cylinder.
| September 7, 2021 | education
A regular triangle with a side of 3√3 is inscribed in the base of the cylinder. Find the volume of the cylinder if its height is 5
Since a regular triangle is inscribed at the base of the cylinder, the radius of the circumscribed circle is determined by the formula:
R = a * √3 / 3, where a is the side of a regular triangle.
R = 3 * √3 * √3 / 3 = 3 cm.
Determine the area of the base of the cylinder.
Sop = n * R ^ 2 = n * 9 cm2.
Determine the volume of the cylinder.
Vcyl = Sosn * OO1 = n * 9 * 5 = n * 45 cm3.
Answer: The volume of the cylinder is n * 45 cm3.
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