Verified Answer :

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

1/3
pi10012 = 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 = \(\frac{1}{3}\pi \cdot r^2 \cdot h\)

Substitute , we get,

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

Volume of cone = \(\pi \cdot 100 \cdot 4\)

Volume of cone = \(400 \pi\)

Thus, option (3) is correct.

Thus, Volume of cone is 400π cm³