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17 April, 21:23

The height of a cone is twice the radius of its base.

What expression represents the volume of the cone, in

cubic units?

A. 2/3 pi x 3

B. 4/3 pi x 2

C. 2 pi x 3

D. 4 pi x 3

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Answers (2)
  1. 17 April, 21:37
    0
    Option A) 2/3 πx³ is the expression that represents the volume of cone in cubic units.

    Step-by-step explanation:

    The general formula for the volume of the cone is given by,

    ⇒ 1/3 πx²h

    where,

    x is the radius of the base of cone. h is the height of the cone.

    It is given that,

    Height of the cone is twice the radius of its base.

    Therefore, the volume of the cone is represented as

    ⇒ Substitute h=2x in the volume of the cone volume.

    ⇒ 1/3 πx² (2x)

    ⇒ 2/3 πx³ cubic units.

    Hence, option A) 2/3 πx³ is the expression that represents the volume of cone in cubic units.
  2. 17 April, 21:53
    0
    A is the correct answer, i just took the test
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