Mathematics High School

A paper container in the shape of a right circular cone has a radius of 3 inches and a height of 8 inches. Determine and state thr number of cubic inches in the volume of the cone, in terms of  π.​

A Paper Container In The Shape Of A Right Circular Cone Has A Radius Of 3 Inches And A Height Of 8 Inches.

Answers

Answer 1

Given:

Radius of the cone = 3 inches

Height of the cone = 8 inches

To find:

The volume of the cone, in terms of  π.​

Solution:

We know that, the volume of a cone is:

[tex]V=\dfrac{1}{3}\pi r^2h[/tex]

Putting [tex]r=3,h=8[/tex], we get

[tex]V=\dfrac{1}{3}\pi (3)^2(8)[/tex]

[tex]V=\dfrac{1}{3}\pi (9)(8)[/tex]

[tex]V=\dfrac{72}{3}\pi [/tex]

[tex]V=24\pi [/tex]

Therefore, the volume of the cone is [tex]24\pi[/tex].

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Step-by-step explanation:

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