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A hemisphere is placed on top of an inverted cone. The back of the circumference, the radius, and the perpendicular height of the cone are marked with dashed lines. The radius and the height make a right angle and are perpendicular.

Aimee packs ice cream into an ice cream cone. She then puts a perfect hemisphere of ice cream on top of the cone that has a volume of 4 in.3 The diameter of the ice cream cone is equal to its height. What is the total volume of ice cream in and on top of the cone? Use the relationship between the formulas for the volumes of cones and spheres to help solve this problem. Show your work and explain your reasoning.
write it in a 4 sentences and like a 8th grader
(4 points)

To find the total volume of ice cream in and on top of the cone, we need to add the volumes of the cone and the hemisphere. We know that the diameter of the cone is equal to its height, so we can use the formula for the volume of a cone, V = (1/3)πr^2h. The radius and height of the cone make a right angle, so we can use the Pythagorean theorem to find the radius. The radius is half the diameter, so we divide the diameter by 2. Once we find the radius, we can substitute it into the formula for the volume of the cone. We also know the volume of the hemisphere is 4 in^3, so we simply add the volumes of the cone and the hemisphere to find the total volume of ice cream.