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Verified Answer :

MissPhiladelphia

Hi, thank you for posting your question here at Brainly. I hope I would be able to help you with my simple explanation:)

To calculate for the volume of a cone, the formula would be

V = 1/3pir²h

where r = 12 cm, h = 8 cm
So,

V = 1/3pi12²8
V = 384*pi

Answer:

\(384\pi cm^{3}\)

Step-by-step explanation:

Height of cone(h) = 8cm

Radius of base(r) =12 cm

Slant height = 14.4 cm

Volume of right cone  = \(\frac{1}{3} \pi r^{2} h\)

Now putting values in formula

\(\frac{1}{3} \pi *12^{2}*8\)

\(\frac{1}{3}\pi*144*8\)

\(\frac{1152}{3}\pi\)

\(384\pi\)

Thus the volume of cone is \(384\pi cm^{3}\)

Hence Option A is correct.

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