Apyramid and a cone are both 10 centimeters tall and have the same volume. what state must be true about the two solids

The horizontal cross-sections of the pyramid and the cone at the same height must have the same area.

Step-by-step explanation:

We are given that a pyramid and a cone are both 10 centimeters tall and have the same volume and we are to determine a statement which must be true for both the solids.

The horizontal cross-sections of the pyramid and cone at the same height must have the same area.

This is because

Tbase area is same for both pyramid and cone

And cross section at same height the cross sectional area is same

Step-by-step explanation:

Points to remember

Volume of pyramid = (a²h)/3

Where a -  side of base

h - height of pyramid

Volume of cone = (πr²h)/3

Where r - Radius of cone and

h - Height of cone

To find the correct answer

We have height of pyramid and cone is 10 cm

(a²h)/3 = (πr²h)/3

(a² * 10)/3 = (πr² * 10)/3

10a² = 10πr²

From this we get base area is same for both pyramid and cone

And cross section at same height the cross sectional area is same

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step-by-step explanation:

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step-by-step explanation: