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3 years ago

7

Part B: If a cross section of the rectangular pyramid is cut perpendicular to the base, passing through the top vertex, what wou

ld be the shape of the resulting cross section? Explain your answer.

1 answer:

Katyanochek1 [597]3 years ago

6 0

Answer:

A triangle.

Step-by-step explanation:

The plane would pass through opposite sloping faces of the pyramid and through the base; the shape formed is a triangle.

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The object below was made by placing a cone on top of a cylinder. The base of the cone is congruent to the base of the cylinder.

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Answer:

Part 1) The volume of the object is $32\pi\ cm^{3}$ or $100.48\ cm^{3}$

Part 2) see the procedure

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

Part 1) What is the volume, in cubic centimeters, of the object?

we know that

The volume of the object is equal to the volume of the cylinder plus the volume of the cone

Find the volume of the cone

The volume of the cone is equal to

$V=\frac{1}{3}\pi r^{2} h$

we have

$r=4/2=2\ cm$ -----> the radius is half the diameter

$h=3\ cm$

substitute the values

$V=\frac{1}{3}\pi (2^{2})(3)=4\pi\ cm^{3}$

Find the volume of the cylinder

The volume of the cylinder is equal to

$V=\pi r^{2} h$

we have

$r=4/2=2\ cm$ -----> the radius is half the diameter

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$V=\pi (2^{2})(7)=28\pi\ cm^{3}$

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The volume of the total shape is equal to the volume of the cylinder plus the volume of the cone

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