Respuesta :

Answer:

20/3 cubic unit.

Step-by-step explanation:

Rotating the triangle with respect to side AB will form a cone with radius as AB and BC as height of the cone. AC will be the slant height.

AB= 2 units = r

and BC= 5 units = h

volume of the cone = [tex]\frac{1}{3}\pi r^2h[/tex]

putting the values we get

=[tex]\frac{1}{3}\pi 2^2\times5[/tex]

= 20/3 cubic unit.

Answer:

52.33 cubic units.

Step-by-step explanation:

If we rotate the given triangle around AB, we'll get a circular cone. So, we need to apply the formula to find the volume of a circular cone, which radius would be 5 and height would be 2.

[tex]V=\frac{1}{3}\pi r^{2}  h[/tex]

Replacing all given values, we have:

[tex]V=\frac{1}{3}(3.14) (5)^{2} (2)=52.33[/tex]

Therefore, the volume of the solid generated is 52.33 cubic units.