Afunnel is shaped like a cone and is 4.5 inches high and has a diameter of 6 inches. what is the volume of the funnel? use 3.14 for pi. round your answer to the nearest hundredth. 10.60 in3 42.39 in3 63.61 in3 169.64 in3

V=PI x r^2 x (h/3)

3.14 x 3^2 x (4.5/3) = 42.39 in^3

Step-by-step explanation:

Given: The diameter of funnel = 6 inches

Then, Radius =

Height = 4.5 inches

The formula to find the volume of a cone is given by :-

i.e.

Hence, the volume of the funnel =

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1