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.

9514 1404 393

  226.08 mm³

Step-by-step 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

the correct answer option is (2x-3)(2x+3).

step-by-step explanation:

we are given the following expression and we are to factorize it:

we are to find such factors that when multiplied they give a result of 36 (9 x 4 = 36) and when added they give a result of 0.

the two such factors of 36 are negative six and postive six.

factorizing the given expression to get:

therefore, the correct factorization of is (2x-3)(2x+3).

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