Q:

PLEASE I NEED HELP!!!! What is the type of two-dimensional solid created by a vertical cross section of the cone that passes through the apex? What is the area of the cross section?triangle; area = 45 ft2triangle; area = 90 ft2circle; area = 36Ο€ ft2circle; area = 144Ο€ ft2

Accepted Solution

A:
Answer:triangle; area = 90 ft2Step-by-step explanation:THe type of two dimensional solid created by a vertical cross section of the cone that passes through the apex is a triangle, as you can see in the picture, if you draw a line that cuts the cone in half passing through the apex it would just be a triangle, and the area of the cross section is given by the formula:[tex]a=\frac{b*h}{2}[/tex]Since you have the radius of the base of the cone, you need the diameter to calculate the area, the diameter is given by the next formula:[tex]D=2r[/tex][tex]D=2(6)[/tex][tex]D=12[/tex]Now you just put your values into the formula of the triangle:[tex]a=\frac{(12)(15)}{2}[/tex][tex]a=\frac{(180}{2}[/tex][tex]a=90[/tex]So the area of the triangle formed is:[tex]90ft^{2}[/tex]