Question

Suppose the height of a sugar cone is 5 inches and the largest diameter (at the top of the cone) is 2 inches. If a cone is completely filled and then topped with a perfectly hemisphere-shaped scoop, what is the total volume in cubic inches of the ice cream needed?

Answer 1

V≈11.99π

Explanation:

1/3hπr^2 = volume of a cone

(4/3πr^3)/2 = volume of a hemi sphere

Volume of the cone

1/3(5)π(2)^2

1/3(5)π(4)

1/3(20)π

Volume of the cone is ≈ 6.66π

Volume of the hemi sphere

(4/3π(2)^3)/2

(4/3(8)π)/2

(10.66π)/2

volume of the hemi sphere is ≈ 5.33π

5.33π + 6.66π =11.99π