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In Mathematics / High School | 2014-05-26

How do you find the volume, to the nearest cubic inch, of a cone whose radius is 12 inches and height is 15 inches?

Asked by mercymars1881

Answer (3)

You have to know the formula for the volume of a cone. In high school, there's no other way.
Volume of a cone = (1 / 3) π (radius)² (height)
Volume = (1 / 3) π (12 inches)² (15 inches)
Volume = 720 π = 2,261.95 cubic inches
Rounded to the nearest cubic inch, that's** 2,262 cubic inches **.

Answered by AL2006 | 2024-06-10

V β = 3 1 ​ π r 2 h V β = 3 1 ​ π 1 2 2 ∗ 15 V β = 2160 ∗ 3 1 ​ π V β = 720 π

Answered by tadvisohil886 | 2024-06-10

The volume of the cone is calculated using the formula V = 3 1 ​ π r 2 h . Substituting the radius of 12 inches and height of 15 inches gives a volume of approximately 2261 cubic inches. This result is rounded to the nearest cubic inch.
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Answered by AL2006 | 2025-01-05