A cone has a height of 2.5 in. and a radius of 5 in. What is the volume of the cone? (Use 3.14 for . Round the answer to two decimal places

Mathematics · High School · Wed Jan 13 2021

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Given the measurements:

Height of the cone = 2.5 inches

Radius of the cone = 5 inches

Determine the volume of the cone.

Formula for the volume of the cone:

V=π r^2 h/3

Solution:

Substitute the given values of the radius and the height to the formula for the volume of the cone. 

V=πr^2h/3

V=π(5)^2 (2/5)/3

V=π(5 inches)^2 (2.5 inches)/3

V=π(25 in^2)(0.833 inches)

V =65.45 in^3

Final answer:

V =65.45 in^3