Question

The area of the base of a cone is 16, and the height is 10. Find the area of a cross-section that is distance 5 from the vertex.

Answer 1

4 square units

Explanation:

5/10=0.5

(0.5)^=0.25

16*0.25=4

Answer 2

Answer: Area of cross section would be 4 square units.

Explanation:

Since we have given that

Area of base of cone = 16 sq. units

Height = 10

We need to find the area of cross section that is distance 5 from the vertex.

So, Height of cross section = 5 units

total height of cone = 10

It means the cross section is half of the whole cone.

So, it becomes,

`((1)/(2))^2=(A)/(16)\\\\(1)/(4)=(A)/(16)\\\\16=4A\\\\(16)/(4)=A\\\\4=A`

Hence, Area of cross section would be 4 square units.