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Hatshy [7]
3 years ago
11

A cylindrical can of soup has a diameter of 7 cm and a height of 10 cm. How much soup is in the can, in terms of π?

Mathematics
2 answers:
Natasha2012 [34]3 years ago
7 0

Answer:

B) 122.5π cm3

Step-by-step explanation:

Volume of a cylinder = \pi r^{2} h

r= radius , but we are given diameter or 7cm, radius = diameter/2 =7/2 = 3.5cm

h= height, given as 10cm

\pi = constant

Next, plug in the numbers into the formula;

=\pi *3.5^{2} *10\\ \\ =\pi *12.25 *10\\ \\ =122.5\pi

Therefore, the volume of soup in the can is 122.5\pi cm^{3}

Jet001 [13]3 years ago
3 0

Answer:

C) 245π cm3

Step-by-step explanation:

V = π x r^2 x h

V = π(3.5)^2(10)= 122.5π cm^3

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What is the ratio from 18 to 16
Irina18 [472]

Answer: 8:9

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3 years ago
Expand the given power by using Pascal’s triangle. (9a - 10b)^6
xxMikexx [17]

Answer:

531441a^6-3542940a^5b+9841500a^4b^2-14580000a^3b^3+12150000a^2b^4-5400000ab^5+1000000b^6

Step-by-step explanation:

                     1                                n=0

                  1      1                            n=1

                 1   2   1                           n=2

                1  3  3  1                          n=3

              1  4  6  4   1                      n=4

             1  5 10 10 5  1                    n=5

           1 6 15 20 15 6 1                   n=6

This is where n is the exponent in

(x+y)^n.

(x+y)^6=1x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+1y^6

Now we want to expand:

(9a-10b)^6 or we we can rewrite as (9a+(-10b))^6.

Let's replace x with (9a) and y with (-10b) in the expansion:

(x+y)^6=1x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+1y^6

((9a)+(-10b))^6

=1(9a)^6+6(9a)^5(-10b)+15(9a)^4(-10b)^2+20(9a)^3(-10b)^3+15(9a)^2(-10b)^4+6(9a)(-10b)^5+1(-10b)^6

Let's simplify a bit:

=9^6a^6-60(9)^5a^5b+15(-10)^2(9)^4a^4b^2+20(9)^3(-10)^3a^3b^3+15(9)^2(-10)^4a^2b^4+6(9)(-10)^5ab^5+(-10)^6b^6

=531441a^6-3542940a^5b+9841500a^4b^2-14580000a^3b^3+12150000a^2b^4-5400000ab^5+1000000b^6

8 0
3 years ago
How many solutions does the nonlinear system of equations graphed below have?
NeTakaya

Answer:

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In order to solve system of equations by graphical method, we graph the system of equations. The intersection point (s) of the two graph would give us the solution.

If the graph of the equations intersect at 2 points then there will be 2 solutions, if there are 4 intersection then there would be 4 solutions and so on.

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Exact Form:

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Decimal Form:

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