Find the volume of the cone. Round your answer to the nearest tenth. The volume of the cone is about ____ cubic inches

Answer:
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.
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.
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