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Alchen [17]
3 years ago
15

Question :

Mathematics
1 answer:
Aleks [24]3 years ago
7 0

Answer:

9+r

Step-by-step explanation:

jessica rode 9 more miles so u would add it to the number of miles roger rode

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$145.38

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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

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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

h=(10-3)=7\ cm

substitute the values

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

Part 2) Then explain how you found the volume of the total shape

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

4\pi\ cm^{3}+28\pi\ cm^{3}=32\pi\ cm^{3} ------> exact value

Find the approximate value of the volume

assume

\pi=3.14

32(3.14)=100.48\ cm^{3}

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