Respuesta :

The lateral area of the cone is; 136π cm²

The Surface area of the cone is; 200π cm²

The volume of the cone is; 320πcm³

What is the volume of the cone?

The lateral area of the cone given in the task content can be evaluated as follows;

LA = πrl; where r = 8 from Pythagoras theorem.

LA = (8 × 17)π = 136π cm²

SA = πr(r +l) = 8π(25) = 200π cm²

The volume of the cone is;

V = (1/3)πr²h

V = 320πcm³

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