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Gennadij [26K]
3 years ago
7

Cylinder A has a volume of 360 cm3. Cylinder B has a base and height identical to that of cylinder B, but leans to the right in

such a way that its slant length is greater by 4 cm. What is the volume of cylinder B?
Mathematics
2 answers:
gavmur [86]3 years ago
6 0

Answer:

Cylinder B has a volume of 360 cm³

Step-by-step explanation:

The volume of a regular cylinder is: V = (base)(height)

The base of a cylinder is a circle with an area πr²

So the volume of a cylinder is: V= πr² (base)

In this case, since we know the two cylinders have the same base and height. Then one can use Cavalieri's Principle which <em>states that  two solids of equal altitude, the sections made by planes parallel to and at the same distance from their respective bases are always equal, then the volumes of the two solids are equal </em>(Kern and Bland 1948, p. 26).

Therefore, it does not matter that the slant lenght differs because the altitude and base remain unchanged.

qaws [65]3 years ago
4 0
Check your book on Cavalieri's Principle.

Cavalieri's Principle:

two solids that have the same altitude and identical cross-sections all the way up, though slanted or not, have the same volume.
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Calculate the area of the shape below.
Vsevolod [243]

Answer:

24ft²

Step-by-step explanation:

divide up the shape:

big triangle:

(looking for base)

9.8²= 4² + b²

b  = 8.95ft

(finding area)

0.5*8.95*4 = 17.9ft²

small triangle:

(looking for base)

12-8.95=3.05ft

(finding area)

0.5*3.05*4 = 6.1ft²

Whole Shape:

17.9+6.1 = 24ft²

3 0
3 years ago
The table shows the number of championships won by the baseball and softball leagues of three youth baseball divisions organized
castortr0y [4]

Answer:


Step-by-step explanation:

heyq


The correct answer is:


7/10


Explanation:


Finding the totals of each column and row, we find:


There are 3+2+1 = 6 children in the baseball league.

There are 7+2+1 = 10 children in the softball league.

There are 3+7 = 10 children in the 7-9 division.

There are 2+2 = 4 children in the 10-12 division.

There are 1+1 = 2 children in the 13-15 division.

There are a total of 10+6 = 16 children.


We start with the information that the team is a member of the softball league.  There are 10 children in this league; this is the denominator of the probability.


There are 7 children in the 7-9 division that are in the softball league.  This gives us the probability 7/10.

please you are a student study well especially graph is easy thing to do.


4 0
3 years ago
Suppose the y-intercept of an exponential function is positive and the common ratio (r) is greater than 1. For this graph, as x
Anna11 [10]

Answer:

Increase (A)

Step-by-step explanation:

If the common ratio is greater than 1, that means the y-value increases as the x-value increases.

If the common ratio is 1, that means the y-value stays the same as the x-value increases.

If the common ratio is between 0 and 1, that means the y-value decreases and approaches 0 ad the x-value increases.

Because the common ratio is greater than 1, the answer is A, increases

4 0
3 years ago
Use the variable x to write the phrase in symbols.
Rudik [331]

Answer:

155 + x^{3} + 14

Step-by-step explanation:

The variable x would represent the number/value we don't know, and in this case, we don't know what number is raised to the third power. This being said, x would represent that number.

The question, although worded a bit confusingly, asks to add 155, the number (x) to the exponent of 3, and 14. Mathematically, this would be 155 + x^{3} + 14.

6 0
3 years ago
Will give brainliest! plz answer!!
kodGreya [7K]
A. If there are only green and yellow M & M’s in the bag, what is the smallest number of
M & M’s possible? 7 M & M’s total
b. If there are 84 M & M’s in the bag all together, how many are green? 24 green ones
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5 0
3 years ago
Read 2 more answers
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