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bixtya [17]
3 years ago
12

What is the volume of a cone with a radius of 2 and a height of 19?

Mathematics
2 answers:
Luda [366]3 years ago
6 0

Answer:

i looked it up its    V≈79.59

Step-by-step explanation:

kykrilka [37]3 years ago
5 0

Remember that the cone volume formula is V=\pi r^2\frac{h}{3} , with r = radius and h = height. Using our information, we can form our equation as such: V=\pi 2^2\frac{19}{3} (I'll be keeping the answer in pi form.)

Firstly, solve the exponents:V=\pi 4\frac{19}{3}

Next, multiply 4 and 19/3 together and your answer should be (rounded to the hundreths): V = 25.33π un^3

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360 x 10 to the 3rd power over 1.8 x 10 to the negative 5th power evaluated in scientific notation. Please explain
gayaneshka [121]
Get it into normal #s
360•10^3 = 360000
1.8•10^-5 = .000018

Divide                    Get back to scientific notation
360000/.000018 = 20000000000 = <u>2•10^10</u>

5 0
3 years ago
Plz help and explain ty
mel-nik [20]
4x = 8, so x = 2
5y + 4 = 4, so 5y = 0, so y = 0
(2,0)
8 0
3 years ago
The Scottsdale fire department aims to respond to fire calls in 4 minutes or less, on average. Response times are normally distr
IgorC [24]
<h2><u>Answer with explanation</u>:</h2>

Let \mu be the population mean.

As per given , we have

H_0:\mu \leq4\\\\ H_a: \mu >4

Since the alternative hypothesis is right-tailed , so the test is a right-tailed test.

Also, population standard deviation is given \sigma=1 , so we perform one-tailed z-test.

Test statistic : z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

, where \mu = Population mean

\sigma = Population standard deviation

n= sample size

\overline{x} = Sample mean

For n= 18 , \overline{x}=4.50 , \sigma=1 , \mu =4, we have

z=\dfrac{4.5-4}{\dfrac{1}{\sqrt{18}}}\approx2.12

P-value (for right tailed test): P(z>2.12) = 1-P(z≤ 2.12)  [∵ P(Z>z)=1-P(Z≤z)]\

=1- 0.0340=0.9660

Decision : Since P-value(0.9660) > Significance level (0.01), it means we are failed to reject the null hypothesis.

[We reject null hypothesis if p-value is larger than the significance level . ]

Conclusion : We do not have sufficient evidence to show that the goal is not being met at α = .01 .

3 0
3 years ago
Help please explain.
Lubov Fominskaja [6]
25 + 100i is correct because -5 squared is 25 and the the square root of -100 is 100i or 10i in its simplest form.
4 0
3 years ago
If csc θ=8/7, which equation represents cotθ
TEA [102]
Sin θ = opposite leg/hypotenuse 
csc θ = hypotenuse /opposite leg =8/7

cot <span>θ = adjacent leg/opposite leg

hypotenuse =8
opposite leg =7
We need to find adjacent leg.

(Opposite leg)² +(adjacent leg)² = hypotenuse²
7² + </span>(adjacent leg)² =8²
(adjacent leg)² = 64 - 49
(adjacent leg)² = 15

adjacent leg=+/-√15
<span>WE need only positive root,
so </span>adjacent leg =√15

cot θ = √15/7 or 0.5533<span>

</span>
6 0
3 years ago
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