03-01-2021
Mathematics

contestada

The base diameter and the height of a cone are both
equal toX units.
Which expression represents the volume of the cone, in
cubic units?

Respuesta :

08-01-2021

Answer:

1/12πx³

Step-by-step explanation:

Given that :

Base diameter = x

Height, (h) = x

Volume of a cone (V) :

1/3 πr²h

Where r = radius = diameter / 2 = x/2

Hence,

V = 1/3 * π * (x/2)² * x

V = 1/3 * π * x²/4 * x

V = 1/12 * π * x³

V = 1/12πx³

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