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3 years ago

A straw is 25 cm long an 12 mm in diameter.how much liquid can be held in the straw at one time

Mathematics

1 answer:

eduard3 years ago

8 0

Answer:

About 28 cm³

Explanation:

The shape of a straw may be modeled by a cylinder; thus, use the formula for the volume of a cylinder with length (or height) 25cm and diameter 12mm.

Formula for the volume of a cylinder:

$V=\pi \times (radius)^2\times height$

For the given straw:

radius = diameter/2 = 12mm /2 = 6mm

Convert to cm: 6mm × 1cm/10mm = 0.6cm

height: 25cm

Substitute and compute:

$V=\pi \times (0.6cm)^2\times 25cm\approx28.27cm^2\approx28cm^3$

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AysviL [449]

You can take x = a, 2y = b and then can apply the binomial theorem.

The expansion of given expression is given by:

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<h3>What is binomial theorem?</h3>

It provides algebraic expansion of exponentiated(integer) binomial.

According to binomial theorem,

$(a+b)^n = \sum_{i=0}^n ^nC_i a^ib^{n-i}$

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Taking a = x, and b =2y, we have n = 7, thus:

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(x+2y)^7 = x^7 + 14x^6y + 84x^5y^2 + 280x^4y^3 + 560x^3y^4 + 672x^2y^5 + 448xy^6 + 128y^7$

Thus, Option D: $x^7 + 14x^6y + 84x^5y^2 + 280x^4y^3 + 560x^3y^4 + 672x^2y^5 + 448xy^6 + 128y^7$ is correct.

Learn more about binomial theorem here:

brainly.com/question/86555

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That's

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