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Tresset [83]
3 years ago
11

A cylindrical soup can has a radius of 1.2 in. and is 6 in. tall. What's the volume?

Mathematics
1 answer:
Sergio [31]3 years ago
7 0

Answer:

Volume= 27. 12inches³

Step-by-step explanation:

to solve this question lets write out the parameters given

radius of the cylinder  = 1.2 inches

height of the cylinder = 6 inches

volume of the cylinder = ?

<u>solution</u>

the fomular to find the volume of a cylinder is given to  be

Volume= πr²h

Volume= 3.14 × ( 1.2)² × 6

Volume= 3.14 × 1.44 × 6

Volume= 27. 12inches³

therefore the volume of the cylinder equals to 27. 12inches³

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Find the volume of the prism. 4 in. 8 in. 8 in. ​
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Answer:

256

Step-by-step explanation:

8×8=64

64×4=256

64

4

256

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How do I find the reciprocal of the fractions 2/3 and 8/3
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To find the reciprocal of a number, just flip the numerator and the denominator around.

A. The reciprocal of 2/3 is 3/2.

C. Firstly, convert the mixed fraction into an improper fraction. Multiply the whole number by the denominator and add the numerator to that product. After that, put the quantity on the numerator. In this case, 6 x 6 = 36 and 36 + 1 = 37, so our improper fraction is 37/6. Next, just flip the numerator and denominator around, and your reciprocal is 6/37.

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Adam wrote a check for $38 to pay his monthly gas bill, but when balancing his checkbook, he accidently recorded it as a credit
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Use multiplication or division of power series to find the first three nonzero terms in the Maclaurin series for each function.
Lunna [17]

Answer:

The first three nonzero terms in the Maclaurin series is

\mathbf{ 5e^{-x^2} cos (4x)  }= \mathbf{ 5 ( 1 -9x^2 + \dfrac{115}{6}x^4+ ...) }

Step-by-step explanation:

GIven that:

f(x) = 5e^{-x^2} cos (4x)

The Maclaurin series of cos x can be expressed as :

\mathtt{cos \ x = \sum \limits ^{\infty}_{n =0} (-1)^n \dfrac{x^{2n}}{2!} = 1 - \dfrac{x^2}{2!}+\dfrac{x^4}{4!}-\dfrac{x^6}{6!}+...  \ \ \ (1)}

\mathtt{e^{-2^x} = \sum \limits^{\infty}_{n=0}  \ \dfrac{(-x^2)^n}{n!} = \sum \limits ^{\infty}_{n=0} (-1)^n \ \dfrac{x^{2n} }{x!} = 1 -x^2+ \dfrac{x^4}{2!}  -\dfrac{x^6}{3!}+... \ \ \  (2)}

From equation(1), substituting x with (4x), Then:

\mathtt{cos (4x) = 1 - \dfrac{(4x)^2}{2!}+ \dfrac{(4x)^4}{4!}- \dfrac{(4x)^6}{6!}+...}

The first three terms of cos (4x) is:

\mathtt{cos (4x) = 1 - \dfrac{(4x)^2}{2!}+ \dfrac{(4x)^4}{4!}-...}

\mathtt{cos (4x) = 1 - \dfrac{16x^2}{2}+ \dfrac{256x^4}{24}-...}

\mathtt{cos (4x) = 1 - 8x^2+ \dfrac{32x^4}{3}-... \ \ \ (3)}

Multiplying equation (2) with (3); we have :

\mathtt{ e^{-x^2} cos (4x) = ( 1- x^2 + \dfrac{x^4}{2!} ) \times ( 1 - 8x^2 + \dfrac{32 \ x^4}{3} ) }

\mathtt{ e^{-x^2} cos (4x) = ( 1+ (-8-1)x^2 + (\dfrac{32}{3} + \dfrac{1}{2}+8)x^4 + ...) }

\mathtt{ e^{-x^2} cos (4x) = ( 1 -9x^2 + (\dfrac{64+3+48}{6})x^4+ ...) }

\mathtt{ e^{-x^2} cos (4x) = ( 1 -9x^2 + \dfrac{115}{6}x^4+ ...) }

Finally , multiplying 5 with \mathtt{ e^{-x^2} cos (4x) } ; we have:

The first three nonzero terms in the Maclaurin series is

\mathbf{ 5e^{-x^2} cos (4x)  }= \mathbf{ 5 ( 1 -9x^2 + \dfrac{115}{6}x^4+ ...) }

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3 years ago
What is the volume of the pool?
Fofino [41]

Answer: 7.5

Step-by-step explanation:

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