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Levart [38]
3 years ago
8

What is the volume of the cone? Use 3.14 for π. Round your answer to the nearest hundredth.

Mathematics
1 answer:
Tasya [4]3 years ago
7 0

Answer:178.71696m^3

Step-by-step explanation:

To find the volume of cone=1/3πr2h

To find the height using pythagoras theorem and the theorem state that the square on the hypotenuse of a right-angled triangle is the same or equal in area to the sum of the squares on the other two sides.

7^2=h^2+3^2

h^2=49-9

h=√40

h=6.32m

V=1/3×3.142×3m×3m×6.32m

Therefore our answer is;

V=178.71696m^3

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A hemisphere has a diameter of 26 centimeters. What is the volume of a sphere with the same radius?
salantis [7]
r= \frac{d}{2}= \frac{26}{2} \;\Rightarrow r=13\,cm  \\  \\ 
V= \frac{4}{3} \pi r^3 \\  \\ 
V= \frac{4}{3} \pi \,(13)^3 \\  \\ 
V= \dfrac{4\cdot 2197}{3} \pi \\  \\ 
V= \frac{8788}{3} \pi\approx 9202,77\,cm^3
4 0
3 years ago
An operations analyst counted the number of arrivals per minute at an ATM in each of 30 randomly chosen minutes. The results wer
liraira [26]

Step-by-step explanation:

since Poisson distribution parameter is not given so we have to estimate it from the sample data. The average number of of arrivals per minute at an ATM is

\hat{\lambda}=\bar{x}=\frac{\sum x}{n}=\frac{30}{30}=1

So probabaility for \mathrm{X}=1 is

P(X=1)=\frac{e^{-\lambda} \lambda^{x}}{x !}=\frac{e^{-1} \cdot 1^{1}}{1 !}=0.3679

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8 0
3 years ago
100 POINTS
gulaghasi [49]
C. Alternate interior angles are formed by a transverse line intersecting two parallel lines . They are located between the two parallel lines but on opposite sides of the transverse line
5 0
1 year ago
Read 2 more answers
HELPPP!!!
madam [21]

Answer:

2 and a half @ 2.5 inches (sorry i can't type the fraction)

Step-by-step explanation:

  • english is my second language so sorry if you doesn't understand:

(1/2, 1/4)=(x,y)

based on the graph shown that each grid on the y axis represents 1/4, that is the smallest scale stood in the y axis.

this means 2 grid= 1/4 x 2 = 1/2 @ 0.5 inches.

since the '5 months-hair-length' is above about 2 grid above 2 inch:

2 inch + 0.5 inch= 2.5 inch

4 0
2 years ago
How do you get 1.8 from<img src="https://tex.z-dn.net/?f=f%282%29%3D%5Cfrac%7B2%7D%7B1%2Be%5E%7B-%282%29%7D%20%7D" id="TexFormul
Nataliya [291]

Answer:

see explanation

Step-by-step explanation:

\frac{2}{1+e^{-2} } ← evaluate e^{-2} using calculator

= \frac{2}{1+0.135}

= \frac{2}{1.135}

= 1.762.....

≈ 1.8 ( to 1 dec. place )

4 0
2 years ago
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