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prisoha [69]
3 years ago
8

Given a can with a volume of 42 and a diameter of 4, what is the volume of a cone that fits perfectly inside the can? (Hint: onl

y enter numerals in the answer blank). (2 points)
Mathematics
1 answer:
V125BC [204]3 years ago
8 0

Answer:

              \large\boxed{\large\boxed{14 units^3}}

Explanation:

The<em> cone</em> is said to <em>fit perfectly inside the can</em> when the diameter of the cone and its height are equal to those of the can.

The shape of a can can be considered a cylinder.

The<em> volume of a cone that fits into the can</em> is 1/3 the volume of the can.

Thus, the volume of our cone is (1/3) × 42 unit³ = 14 units³

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boyakko [2]

Answer:

r = 2\sqrt{5}

(x - 3)^{2} + ( y - 2)^{2} = 20

Is this a live test question or a homework question?

Step-by-step explanation:

the radius is the distance between (3, 2) and (5, -2)

r^{2} = {(3 - 5)^{2} + (2 + 2)^{2}  }

    =  (-2)^{2} + 4^{2}

    =  4 + 16 = 20

r = \sqrt{20 } = 2\sqrt{5}

Equation of circle:   (x - 3)^{2} + ( y - 2)^{2} = 20

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2 years ago
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I think of a number and multiply it by 4. I then add 8 and I'm left with an answer of 30. What number did I think of? Form and s
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Step-by-step explanation:

Take x for the unknown number. Then just follow the words and turn them into mathematical symbols. Easy.

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3 years ago
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Inga [223]

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Step-by-step explanation:

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Step-by-step explanation:

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2 years ago
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