Acone-shaped paper cup can hold 35 cubic inches of food . if the radis of the cone is 2.4 inches, what is the height of the cone? use 3.14 for pi. round to the nearest hundredth

The volume of a cone is given by the formula

... V = (1/3)π·r²·h

You are given

... V = 35 in³; r = 2.4 in; π = 3.14.

Fill in the given information and solve for the remaining variable.

... 35 in³ = 3.14·(2.4 in)²·h

... (35 in³)/(18.0864 in²) = h . . . . . . . divide by the coefficient of h

... 1.94 in = h

The height of the cone is 1.94 inches.

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