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yawa3891 [41]
3 years ago
8

Two cylinders have equal diameters. are their volumes also equal? is the same true for cones and spheres?

Mathematics
2 answers:
anygoal [31]3 years ago
8 0
<span>are their volumes also equal?
</span> Not necessarily, if they have the same height the volume of the two cylinders is the same. However, if they do not have the same height, the volume is different. The volume of a cylinder is:
 V = pi * r ^ 2 * h.
 the same true for cones and spheres?
 For the cone, the same thing happens with the cylinder. It will depend on the height. The volume of the cone is:
 V = (1/3) * pi * r ^ 2 * h.
 For a sphere YES. the volumes are equal if they have the same diameter since their equation depends only on the radius. The volume of the sphere is:
 V = (4/3) * pi * r ^ 3
Paraphin [41]3 years ago
5 0
<span>Although two cylinders may have equal diameters, their volumes are not necessarily equal, as the volume of a cylinder is dependent also on the cylinder's height. The same holds true for cones. Spheres, however, are, by nature, proportional. Therefore, if two spheres have the same diameter, they also have the same volumes.</span>
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Nine students were asked how many books they read last summer. Their answers are listed below.
Alekssandra [29.7K]
The mode is the number which occurs the most.
# : How many times it occurs
2 : 2
3 : 5
6 : 1
9 : 1
This means 3 is the mode. The range is the highest number - the lowest number

The #'s in order : 2, 3, 6, 9

Then the range would be 9 - 2 which is 7

Hope that helped.

8 0
3 years ago
What is the solution to the following system of equations? 3x-2y=12 and 6x-4y=24
Tems11 [23]
Multiplying the first equation by -2 results in -6x + 4y = -24.
Adding this result to the second equation:

<span>6x-4y=24
</span>-6x + 4y = -24
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           0  = 0

There are an infinite number of solutions, since the 2 given equations represent collinear lines.
6 0
4 years ago
Driving Distance Hours Driven Miles Driven 1 60 2 120 3 180 4 ? If Shondra traveled the same number of miles each hour, how many
Mashcka [7]

Answer:

the number of miles travelled in four hours in the case when she travelled same miles number each hour is 240 miles

Step-by-step explanation:

The computation of the number of miles travelled in four hours in the case when she travelled same miles number each hour is shown below:

= Number of miles × given number of hours

= 60 miles × 4 hours

= 240 mile

Hence, the number of miles travelled in four hours in the case when she travelled same miles number each hour is 240 miles

8 0
3 years ago
James has 360 in his savings account if he decides to save 90 dollars every month which answer tells you how many months it will
IgorLugansk [536]
So first write an inequality
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-360             -360
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÷90      ÷90
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8 0
4 years ago
During his lunch hour, Matt asked 24 students how many after-school activities they participated in. This list shows
denis-greek [22]

As you can see, 4 of the 24 students don't partecipate in any activity. This clearly implies a ratio of 4:24, or 1:6.

We could infer that this ratio holds for the whole school, or even for all the boys and girls of that age.

That's the point of surveys and inferring: you gather data about a relatively small group, and then assume that the proportions you have are valid for a much larger group.

That's why it is important that the group that you survey is balanced and unbiased.

6 0
4 years ago
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