Question

PLEASE HELP I'll GIVE BRAINLIEST:

Jen slices a cone with a height of 10 centimeters and a radius of 4 centimeters using a plane that is perpendicular to the base and that passes through the vertex of the cone. What is the area of the cross-section in square centimeters?

Answer 1

Answer: $40cm^2$

Step-by-step explanation:

A cross-section is the shape that results of the intersection of a plane with an abject.

When the cone is sliced by a plane perpendicular to the base and passes through the vertex, the cross-section obtained is a triangle.

The area of the triangle can be calculated with the formula:

$A=\frac{b*h}{2}$

Where the base of the triangle is b and its height is h.

The base of the triangle is the diameter of the cone. Knowing the radius, the diameter is:

$diameter=2*radius\\diameter=2*4cm\\diameter=8cm$

Then:

$b=8cm$

The height ot this triangle is the height of the cone:

$h=10cm$

So, by substituting into the formula you get the area of the cross-section in square centimeters:

$A=\frac{(8cm)(10cm)}{2})=40cm^2$