A tin man has a head that is a cylinder with a cone on top. The height of the cylinder is 12 inches and the height of the cone is 6 inches. The radius of both the cylinder and the cone is 4 inches. What is the volume of the tin man's head in terms of pi? A. 192pi inches3 B. 224 pi inches3 C. 384pi inches3 D. 912pi inches3
Accepted Solution
A:
Answer:The answer to your question is 224 π in³Step-by-step explanation:DataCylinder Coneheight = 12 in height = 6 inradius = 4 in radius = 4 inVolume = x Volume = yProcess1.- Calculate the volume of the CylinderV = πr²hV = π (4)²(12)V = π(16)(12)V = 192 π2.- Calculate the volume of the ConeV = 1/3 πr²hV = 1/3 π(4)²(6)V = 1/3 π(16)(6)V = 96/3 πV = 32 π3.- Calculate the volume of the head Volume = 192 π + 32 πVolume = 224 π in³