Given: A cone with a radius of 3" has a total area of 24 pi sq. in.

To find: Find the volume of the cone.

Formula used : Area = pi × radius × length + pi × radius^{2} .

height^{2} +radius^{2} = lenght^{2}.

Volume = \frac{1}{3}× radius^{2}× height.

Solution : 24 pi = pi×3 × length + pi × 2^{2} .

length = 5.

height^{2} +3^{2} = 5^{2}.

Height = 4.

So, Volume = \frac{1}{3}× 3^{2}× 4.

Volume = 12 pi.

To find:. Find the volume of the cone.
Formula used : Area = pi x radius x length + pi x radius2.
Height²+ radius² = lenght². Volume = xradius² ×
height.
Solution: 24 pi = pix3 x length + pi × 22. length = 5.
height2+32= 5² .
Height = 4.
So, Volume = × 3² × 4.
Volume 12 pi.
Therefore, the volume of the cone 12 pi.

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