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liubo4ka [24]
3 years ago
8

The circular opening of an ice cream cone has a diameter of 7 centimeters. The height of the cone is 10 centimeters. What is the

volume of the ice cream cone in cubic centimeters
Mathematics
1 answer:
Nataly [62]3 years ago
8 0

We have been given that the circular opening of an ice cream cone has a diameter of 7 centimeters. The height of the cone is 10 centimeters. We are asked to find the volume of the ice cream cone in cubic centimeters.

We will use volume of cone formula to solve our given problem.

V=\frac{1}{3}\pi r^2h, where,

r = Radius

h = Height.

We know that diameter is two times the radius, so radius of cone would be half the diameter that is \frac{7}{2} cm.

V=\frac{1}{3}\pi\cdot (\frac{7}{2}\text{ cm})^2\cdot 10\text{ cm}

V=\frac{1}{3}\pi\cdot \frac{49}{4}\text{ cm}^2\cdot 10\text{ cm}

V=\frac{490\pi }{12}\text{ cm}^3

V=128.2817\text{ cm}^3

Upon rounding to nearest tenth, we will get:

V\approx 128.3\text{ cm}^3

Therefore, the volume of the cone would be approximately 128.3 cubic cm.

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Answer:

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Step-by-step explanation:

From the question we are told that

    The sample size is  n  =  25

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     The standard deviation is  \sigma =  36 \ mg

Given that the confidence level is  95% then the level of significance is mathematically represented as

           \alpha  =  100 - 95

=>        \alpha  =  5\%

=>        \alpha  =  0.05

Next we obtain the critical value of  \frac{\alpha }{2} from the normal distribution table , the value is  

           Z_{\frac{\alpha }{2} } =Z_{\frac{0.05 }{2} }  =  1.96

Generally the margin of error is mathematically represented as

        E =  Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }

substituting values

        E =  1.96 *  \frac{36 }{\sqrt{25} }

        E = 14.1

The 95% level of confidence interval  is mathematically represented as

      \= x - E < \mu

substituting values

     310- 14.1 < \mu< 310+ 14.1

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The  95% level of confidence mean that there is 95%  chance  that the true population mean will be in this interval

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Step-by-step explanation:

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A homeowner compared his electric bill from the last four months. In January, his bill was up $30; in February it was up another
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a_sh-v [17]

Answer:

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Step-by-step explanation:

A right triangle can be drawn to model the geometry of the problem. The hypotenuse of the triangle is the length of the string, 100 ft. The side opposite the angle is the height of the kite above the ground, 85 ft.

The mnemonic SOH CAH TOA reminds you of the relationship between sides and angles.

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The angle whose sine is 0.85 is found using the arcsine (inverse sine) function:

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The angle of elevation is about 58°.

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When using your calculator to find the values of inverse trig functions, make sure it is in <em>degrees</em> mode. Otherwise, you're likely to get the answer in radians (≈ 1.01599 radians).

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Answer:

\large \text{Part a:}\\\\for\ d-\dfrac{25}{d}}

\large\text{Part b:}\\\\\boxed{r=\dfrac{7}{3}w-5}

Step-by-step explanation:

\text{Part a}\\\\-vp+400,\ \text{then}\ \boxed{v>-\dfrac{25}{d}}\\\\\text{if}\ d

\text{Part b}\\\\7w-3r=15\qquad\text{subtract 7w from both sides}\\\\-3r=-7w+15\qquad\text{divide both sides by (-3)}\\\\\boxed{r=\dfrac{7}{3}w-5}

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