Question

A company makes cones out solid foam. each cone has a height of 12 inches, and it's base has a diameter of 3 inches. how much foam is needed to make 150 cones

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Answer 1

Solid foam indicates that the cones are made purely out of foam, meaning there is no air or empty space besides the holes in the foam.

So, this means that we are solving for the volume of a cone and then multiplying it by 150 to find out how much foam is required for 150 cones.

V = πr^2(h/3)

π = 3.14

r = 1.5

h = 12

Now, we can plug in our values to solve for volume.

V = 3.14(1.5^2)12/3

V = 3.14(1.5^2)4

V = 3.14 x 2.25

V = 7.065

Round it to the nearest hundredths.

7.065 --> 7.07

Lastly, multiply by 150.

7.07 x 150 = 1,060cm^3 of foam

Thus, 1,060cm^3 of foam is required to make 150 cones.