Respuesta :

MaxGrinfeder389925

Answer:

Area of the base = 15 in.²

Step-by-step explanation:

Volume and height are given, which we can use to find the radius of the base. We can use the formula for the volume of a cone.

[tex]V = \frac{1}{3}\pi r^2h[/tex]  Substitute the known variables.

[tex]40 = \frac{1}{3} \pi r^2(8)[/tex]  Multiply both sides by [tex]\frac{3}{8}[/tex].

[tex]15 = \pi r^2[/tex]  Now we have [tex]\pi r^2[/tex] which is the area of the base.

Area of the base = 15 in.²

PunIntended

Answer:

15 inches

Step-by-step explanation:

The volume of a cone is denoted by: V = [tex]\frac{1}{3} \pi r^2h[/tex], where r is the radius and h is the height. Here, we already know that V = 40 and that h = 8, so plug these in to find πr², which is the area of the base:

V = [tex]\frac{1}{3} \pi r^2h[/tex]

40 = [tex]\frac{1}{3} \pi r^2*8[/tex]

πr² = 15

The area of the base of the cone is 15 inches.

Otras preguntas

Q&A Education