A balloon for a birthday is shaped like an ice cream cone. The radius of the cone and the hemisphere is 8 inches. The height of the cone is 24 inches. If the balloon is filled with helium, how much helium will be needed to fill the balloon? Use 3.14 for pi.
Part A
What is the volume of the hemisphere? Use 3.14 for pi and round your answer to the nearest tenth (one decimal place).
The formula for the volume of a hemisphere is (2/3) * pi * r^3. The radius of the hemisphere is given as 8 inches, so we can substitute that value into the formula:
Volume = (2/3) * 3.14 * 8^3
Volume = (2/3) * 3.14 * 512
Volume = 1074.67 cubic inches
Rounded to the nearest tenth, the volume of the hemisphere is approximately 1074.7 cubic inches.