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 = 1/3*pi*r²*h

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

V = 1/3*pi*12²*8
V = 384*pi

Answer:

[tex]384\pi cm^{3}[/tex]

Step-by-step explanation:

Height of cone(h) = 8cm

Radius of base(r) =12 cm

Slant height = 14.4 cm

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

Now putting values in formula

[tex]\frac{1}{3} \pi *12^{2}*8[/tex]

[tex]\frac{1}{3}\pi*144*8[/tex]

[tex]\frac{1152}{3}\pi[/tex]

[tex]384\pi[/tex]

Thus the volume of cone is [tex]384\pi cm^{3}[/tex]

Hence Option A is correct.

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