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A cone has a base area of 24 square inches and a height of 8 inches. What is the area of a cross-section of the cone that is parallel to the base and 3 inches from the vertex?

 Feb 12, 2020
 #1
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x/24 = 3/8

     x = 3*24/8

     x = 9

laugh

 Feb 12, 2020
 #2
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A cone has a base area of 24 square inches and a height of 8 inches. What is the area of a cross-section of the cone that is parallel to the base and 3 inches from the vertex?

Cone height  h = 8

Cone base  r = sqrt( 24/pi) = 2.764

AB = h - 3 = 5

BC = 5 / tan(β) = 1.727

FB = FC - BC = 1.036482449           ( FB is the radius of cross-section circle)

Area of a cross-section is:  (FB)* pi = 3.375 in2   indecision 

 

 Feb 12, 2020

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