Question

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

Answer 1

Answer:

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Answer 2

π x³ /12 is the volume of the cone if  A cone has a height of x and a diameter of x

Step-by-step explanation:

The base diameter and the height of a cone are both equal to x units

Diameter of cone = x  units

Radius = Diameter /2

=> Radius of cone = x/2 units

Height of cone =x units

Volume of cone = (1/3) π r²h

r = radius h = height

=> Volume of cone =  (1/3)π (x/2)² * x

= (1/3) π (x²/4) * x

= (1/12)  π x³

= π x³ /12 cubic units

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