Find the volume of a frustum of a right circular cone with height 25, lower base radius 30 and top radius 13.

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http://www.jiskha.com/display.cgi?id=1455128294

To find the volume of a frustum of a right circular cone, you can use the formula:

V = (1/3)πh(R^2 + r^2 + Rr),

where V is the volume, h is the height, R is the radius of the lower base, and r is the radius of the top base.

In this case, the height (h) is given as 25, the lower base radius (R) is given as 30, and the top radius (r) is given as 13.

Substituting these values into the formula, we have:

V = (1/3)π(25)(30^2 + 13^2 + 30*13)

Simplifying further:

V = (1/3)π(25)(900 + 169 + 390)

V = (1/3)π(25)(1459)

V ≈ 12334.42 cubic units (rounded to two decimal places).

Therefore, the volume of the frustum of the right circular cone is approximately 12334.42 cubic units.