Question

The volume of a cone is 113.04 mm2. What is the approximate volume of a sphere that has the same height and a circular base with the same diameter? Use 3.14 for π and round to the nearest hundredth.

Answer 1

226.08

Explanation:

1 sphere with the same dimensions is equal to 2 cones. (Very helpful vid: "/PaA-g_z_E2E" )

1. 113.04 × 2
2. 113.04 × 2 = 226.08
3. Answer: 226.08

Answer 2

9514 1404 393

Answer:

226.08 mm³

Explanation:

The volume of a cone with height equal to its diameter is ...

V = 1/3πr²(2r) = 2/3πr³

The volume of a sphere with the same radius is ...

V = 4/3πr³ = 2(2/3πr³) . . . . . twice the volume of the cone

The volume of the sphere is ...

113.04 mm³ × 2 = 226.08 mm³