Step-by-step explanation:
given,radius =5 m
height =8 m
now, v=pi×r^2×h
=(3.14×5^2×8)m^3
=628m^3
therefore the volume is 628m^3 is the answer
a.84
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Answer:
The maximum number of miles they can travel is 6 miles.
Step-by-step explanation:
Because of the fix charge of $2, the amount of money left for the rest of the trip is $18. In order to find how many miles $18 cover when the cab charges $3 per hour, 18 is divided by 3. 18/3=6.
to find the distance between 2 points we should apply the formula
![d=\sqrt[]{(x_2-x_1)^2+(y_2-_{}y_1)^2_{}}](https://tex.z-dn.net/?f=d%3D%5Csqrt%5B%5D%7B%28x_2-x_1%29%5E2%2B%28y_2-_%7B%7Dy_1%29%5E2_%7B%7D%7D)
call point q as point 1 for reference in the formula and p as point 2
replace the coordinates in the formula
![d=\sqrt[]{(3-(-1))^2+(-4-(-1))^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%5B%5D%7B%283-%28-1%29%29%5E2%2B%28-4-%28-1%29%29%5E2%7D)
simplify the equation
![\begin{gathered} d=\sqrt[]{(3+1)^2+(-4+1)^2} \\ d=\sqrt[]{4^2+(-3)^2} \\ d=\sqrt[]{16+9} \\ d=\sqrt[]{25} \\ d=5 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20d%3D%5Csqrt%5B%5D%7B%283%2B1%29%5E2%2B%28-4%2B1%29%5E2%7D%20%5C%5C%20d%3D%5Csqrt%5B%5D%7B4%5E2%2B%28-3%29%5E2%7D%20%5C%5C%20d%3D%5Csqrt%5B%5D%7B16%2B9%7D%20%5C%5C%20d%3D%5Csqrt%5B%5D%7B25%7D%20%5C%5C%20d%3D5%20%5Cend%7Bgathered%7D)
the distance between the 2 points is 5 units
The answer for this would be the second answer choice
This is because when the slant height is tripled, the overall lateral surface area is tripled
The best way to explain this would be through an example.
Say that the lateral height is 2 and the radius is 1. The lateral surface area is 6.28
Now, if I make the lateral height 6, which is triple the original lateral height, the lateral surface area becomes 18.84, which is triple the original surface area
Therefore, the answer is choice 2
Hope this helped!! :D