Answer:
The Cylinder with a diameter of 6 cm and height of 2 cm will hold the water
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes.
To describe which figures could hold water we must first calculate their volumes and compare each
the volume of the given cylinder
With diameter = 3cm
Radius = 3/2= 1.5cm
Height = 8cm
Volume of cylinder = πr²h
= 3.142*(1.5)²*8
=7.0695*8
=56.56cm³
Firstly let us calculate the volume of sphere
Given radius r= 2cm
V= 4/3πr³
V= 4/3*3.142*(2)³
V= 100.544/3
V= 33.5cm³
Since the volume is small compared to the cylinder it can't hold the water
Secondly let us calculate the volume of the cylinder
With diameter 6cm
Radius r= 6/2= 3cm
Height 2cm
Volume = πr²h
V= 3.142*3²*2
V= 56.56cm³
Since the volume compared with the cylinder is equal it can hold the water
Answer:
$60
Step-by-step explanation:
We can create a proportion to find the markup from original price to the marked up price. A proportion is an equation where two ratios are set equal to each other. We create two fractions using the prices and percents. It is marked up by 20% so we pay 120% of $50.
![\frac{120}{100} =\frac{x}{50}](https://tex.z-dn.net/?f=%5Cfrac%7B120%7D%7B100%7D%20%3D%5Cfrac%7Bx%7D%7B50%7D)
We begin solving by cross multiplying numerator to denominator of each fraction.
![120(50)=100(x)\\6000=100x\\\frac{6000}{100}=\frac{100x}{100} \\60=x](https://tex.z-dn.net/?f=120%2850%29%3D100%28x%29%5C%5C6000%3D100x%5C%5C%5Cfrac%7B6000%7D%7B100%7D%3D%5Cfrac%7B100x%7D%7B100%7D%20%20%5C%5C60%3Dx)
Answer:
2n = 12
Step-by-step explanation:
4n-2n+4 = -1+17
add -1 and 17
4n-2n + 4 = 16
combine like terns
2n+ 4 = 16
subtract 4 from each side
2n+4-4 = 16-4
2n - 12
I'm not sure what your four step plan is, but here is how I would solve it:
50 rooms on each upper deck x 2 decks = 100 rooms
100 rooms x 1000 per room = 100,000
That leaves 48 rooms on the 2 lower decks, so 48/2=24 rooms per lower deck
48 rooms x 900 per room = 43,200
100,000 + 43,200 = $143,200 (maximum room sales amount)
Hope this helps!! :)
Answer:
1117 km
Step-by-step explanation:
Because the two cities are approximately on the same North-South line, they are on the same longitude. The difference in their latitudes is 39° - 29° = 10°. We are subtracting because they are both in the northern hemisphere. The distance between them is
![\dfrac{10}{360}\times2\pi\times6400 \text{ km} = 1117 \text{ km}](https://tex.z-dn.net/?f=%5Cdfrac%7B10%7D%7B360%7D%5Ctimes2%5Cpi%5Ctimes6400%20%5Ctext%7B%20km%7D%20%3D%201117%20%5Ctext%7B%20km%7D)