100 POINTS!!!! HELP!!!!

What is the exact volume of a cone with a height of 10 inches and diameter of 6 inches? V = 1/3πr2h Fill in the values needed to calculate the volume of the cone. Notice the units are provided, just enter the number.

Respuesta :

Answer:

V = 30pi

Step-by-step explanation:

V = 1/3πr^2h

We are given the diameter of 6.  The radius is 1/2 of the diameter so the radius is 3.  The height is 10

Substituting these values into the formula

V = 1/3 * pi * (3)^2 * 10

V =30 *pi

We cannot substitute a value for pi and get an exact value

  • Radius=r=6/2=3in
  • Height=h=10in

Volume

  • 1/3πr²h
  • 1/3π(3)²(10)
  • 1/3π(90)
  • 30π in³