Respuesta :

The answer is 400pi because the area of a cone is A=1/3*pi*r^2*h

1/3*pi*100*12 = 400pi

Answer:

Volume of cone is 400π cm³

Step-by-step explanation:

 Given : a right cone with base radius = 10 cm , height = 12 cm and lateral height 15.6 cm

We have to find the volume of this right cone.

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

Substitute , we get,

Volume of cone = [tex]\frac{1}{3}\pi \cdot (10)^2 \cdot 12[/tex]

Volume of cone = [tex]\pi \cdot 100 \cdot 4[/tex]

Volume of cone = [tex]400 \pi[/tex]

Thus, option (3) is correct.

Thus, Volume of cone is 400π cm³

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