abigailbereket11 abigailbereket11
  • 15-04-2020
  • Mathematics
contestada

The volume is 100.48 in.³ and has a height of 6 inches what is the diameter

Respuesta :

vlnakonechnyy vlnakonechnyy
  • 15-04-2020

Answer:

8 inches

Step-by-step explanation:

The formula for a cone's volume is: V = (pir^2h)/3

We already have the V, or volume and the height (h).

So: 100.48 = [pi(6)r^2]/3

Simplify: 100.48 = [(18.84955592154)r^2]/3 (=) 301.44 = (18.84955592154)r^2 (=) 16 = r^2 (=) 4 = r, and since the diameter is 2 times the radius, the diameter is 8 inches.

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