The volume of the cone by definition is given by: V = (pi * r ^ 2 * h) / 3 Where, h: height r: radio Substituting the values we have: V = (pi * (9/2) ^ 2 * (16)) / 3 V = 339.2920066 in ^ 3 Rounding: V = 339.3 in ^ 3 Answer: the volume of the cone is: V = 339.3 in ^ 3
Once you have the points they make a 3-4-5 triangle. The two legs are 3 and 4, so the hypotenuse has to be 5. Or you could use the pythagorean theorem a² + b² = c² 3² + 4² = c² 25 = c² c = 5 then find area A=1/2bh 1/2(3*4) 6
First find the area of the circle using A=pi*r^2 pi*36 Then divide this by 4 because the shaded region is 1/4 of the circle (36*pi)/4=9*pi Final answer: B