Question

HELPPP PLEASEEEEE
Tyrion creates a set of nesting shapes as a toy set for his baby nephew. The outer figure is a
cube with an edge length of 20 centimeters. The middle figure is a square pyramid with an
identical square base and the same height as the cube. The innermost figure is a cone with a
diameter and height equal to the edge of the cube. Calculate the difference of volumes
between cube and cone. Round your answers to the nearest whole cubic centimeter.

Answer 1

Answer:

5906

Step-by-step explanation:

Answer 2

The difference in volumes between cube and cone is 5190.52 cubic units.

How to find the volume of a cube?

Suppose that:

The side length of the considered cube is L units.

Then, we get:

The volume of that cube = L³ cubic units.

The outer figure is a cube with an edge length of 20 centimeters.

The volume of that cube = L³ cubic units.

= 8000 cubic units.

The volume of that cone

$V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3$

The height is 20 cm and the radius will be

$D = 20\sqrt{2} \\ = 28.2\\\\r = D/2\\ = 14.1$

volume of that cone

$V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3$

= $V = \dfrac{1}{3} (3.14) (14.1)^3 (20) \: \rm unit^3$

= 59190.52  cubic units

Therefore, the difference in volumes bbetween cube and cone is 5190.52 cubic units.

Learn more about the volume of a cube here:

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