Use the formula for the volume of a hemisphere, V _ Hemisphere = (2/3) * π * r^3, where 'r' is the radius of the hemisphere. We calculate the volume of the cone using the formula V_cone = (1/3) * π * r^2 * h. By adding the volume of the cone and the volume of the hemisphere gives us the total volume of ice cream. By substituting the values into the formulas and performing the calculations, we find the total volume of ice cream in and on top of the cone to be approximately 4.592 in^3.
is this correct?
No, the formula for the volume of a hemisphere is V_hemisphere = (2/3) * π * r^3, where 'r' is the radius of the hemisphere. The formula for the volume of a cone is V_cone = (1/3) * π * r^2 * h, where 'r' is the radius of the base and 'h' is the height of the cone. To calculate the total volume of the ice cream, you would add the volume of the cone and the volume of the hemisphere:
V_total = V_cone + V_hemisphere.
You would need more information about the dimensions of the cone and the hemisphere (such as radii and height) to substitute values and calculate the correct total volume of the ice cream.