MATH SOLVE

4 months ago

Q:
# It is snowing and salt trucks aredumping a mixture to help. When themixture is dumped from a truck, itforms a mound with a conical shape. Ifthe mound has a diameter of 15 feetand a height of 10 feet, how muchsalt-sand mixture is there?

Accepted Solution

A:

Answer:The volume of a mound of salt-sand mixture is 589.05 feet ³ or 589.05 cubic feet.Step-by-step explanation:1. Let's check the information given to resolve the question:Diameter of a mound of the mixture = 15 feetHeight (h) of the mound of the mixture = 10 feetHow much salt-sand mixture is there?2. Let's find the volume of a mound of mixture with a conical shape:For doing that, we need to use the volume formula of a cone.It's: 1/3 * π * r² * hReplacing with real values, we have:1/3 * 3.1416 * 7.5 ² * 10 (Diameter = 15, so radius = Diameter/2 = 15/2 = 7.5)Volume = 1/3 * 3.1416 * 56.25 * 10Volume = 1/3 * 3.1416 * 562.5 (56.25 * 10 = 562.5)Volume = 187.5 * 3.1416 = 589.05 feet ³ or 589.05 cubic feet.