A gigantic balloon used for a parade is shaped like an ice cream cone. The radius of the cone and the hemisphere is 12 feet. The height of the cone is 60 feet. If the balloon is filled with helium, how much helium will be needed to fill the balloon? Use 3.14 for pi.
Part B
What is the volume of the cone? Use 3.14 for pi and round your answer to the nearest tenth.
(1 point)
Responses
27,129.6 ft3
27,129.6 ft3
36,172.8 ft3
36,172.8 ft3
753.6 ft3
753.6 ft3
9,043.2 ft3
9,043.2 ft3
Question 3
To find the volume of the cone, we will use the formula for the volume of a cone, which is (1/3)πr^2h, where r is the radius of the base and h is the height.
Given:
Radius of the cone = 12 ft
Height of the cone = 60 ft
Substituting the given values into the formula, we have:
Volume of the cone = (1/3)π(12^2)(60) = (1/3)π(144)(60) = 2π(8640) = 17280π
Now, we can determine the approximate volume of the cone by multiplying the volume calculated above by the value of pi (3.14):
Volume of the cone ≈ 17280π ≈ 17280(3.14) ≈ 54163.2 ft^3
Rounded to the nearest tenth, the volume of the cone is approximately 54163.2 ft^3.
Therefore, the correct answer is:
36,172.8 ft^3.