Respuesta :

Answer:

Volume = 65.41 inches³

Step-by-step explanation:

height = 10 inches

radius = 5/2 inches = 2.5 inches

volume = 1/3 × π × radius² × height

volume = 1/3 × 3.14 × 2.5 × 2.5 × 10

volume = 65.41 inches³

The volume of the cone is 65.41 cubic inches.

What is the volume of the cone?

The volume of the cone is;

[tex]\rm Volume \ of \ cone=\dfrac{1}{3}\pi r^2h\\\\Where; \ r = radius , \ h = height[/tex]

The radius of the cone is;

[tex]\rm Radius=\dfrac{Diameter}{2}\\\\Radius=\dfrac{5}{2}\\\\Radius=2.5[/tex]

The volume of the cone is;

[tex]\rm Volume \ of \ cone=\dfrac{1}{3}\pi r^2h\\\\ Volume \ of \ cone=\dfrac{1}{3}\times 3.14 \times 2.5^2\times 10\\\\Volume \ of \ cone=65.41\ inches^3[/tex]

Hence, the volume of the cone is 65.41 cubic inches.

Learn more about volume of cone here;

brainly.com/question/12559866

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