If two triangles are similar, the correspondant sides are in proportion. So, the proportion is
![15\div 10 = 18 \div 12 = x \div 6](https://tex.z-dn.net/?f=15%5Cdiv%2010%20%3D%2018%20%5Cdiv%2012%20%3D%20x%20%5Cdiv%206)
Answer : The correct option is, (A) ![54\pi cm^3](https://tex.z-dn.net/?f=54%5Cpi%20cm%5E3)
Step-by-step explanation :
First we have to calculate the volume of cylinder.
Formula used:
Volume of cylinder = ![\pi r^2h](https://tex.z-dn.net/?f=%5Cpi%20r%5E2h)
where,
r = radius = 3 cm
h = height = 18 cm (We are assuming that 3 solid spheres stacked to each other = 3 × diameter of each sphere = 3 × 2 × 3 = 18)
Volume of cylinder = ![\pi (3cm)^2\times (18cm)](https://tex.z-dn.net/?f=%5Cpi%20%283cm%29%5E2%5Ctimes%20%2818cm%29)
Volume of cylinder = ![162\pi cm^3](https://tex.z-dn.net/?f=162%5Cpi%20cm%5E3)
Now we have to calculate the volume of 3 solid spheres.
Formula used:
Volume of 3 spheres = ![3\times \frac{4}{3}\pi r^3](https://tex.z-dn.net/?f=3%5Ctimes%20%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3)
Volume of 3 spheres = ![4\pi r^3](https://tex.z-dn.net/?f=4%5Cpi%20r%5E3)
Volume of 3 spheres = ![4\pi (3)^3](https://tex.z-dn.net/?f=4%5Cpi%20%283%29%5E3)
Volume of 3 spheres = ![108\pi cm^3](https://tex.z-dn.net/?f=108%5Cpi%20cm%5E3)
Now we have to calculate the amount of empty space within a cylinder.
Amount of empty space within a cylinder = Volume of cylinder - Volume of 3 spheres
Amount of empty space within a cylinder = ![162\pi cm^3-108\pi cm^3](https://tex.z-dn.net/?f=162%5Cpi%20cm%5E3-108%5Cpi%20cm%5E3)
Amount of empty space within a cylinder = ![54\pi cm^3](https://tex.z-dn.net/?f=54%5Cpi%20cm%5E3)
Therefore, the amount of empty space within a cylinder is, ![54\pi cm^3](https://tex.z-dn.net/?f=54%5Cpi%20cm%5E3)
Answer:
2.5
Step-by-step explanation:
First, you have to add them all up:
1 + 4 + 2 + 3 = 10
Now, since there is 4 PEOPLE, you have to divide it by 4.
10 / 4 = 2.5
And there you go, the answer is 2.5
You would divide the distance by the amount of time it took for each friend. Whatever answer is lower, they walked faster. Please mark brainliest (:
Answer:
<u>The correct answer is D. 4.55</u>
Step-by-step explanation:
1. Let's check the information given to resolve the question:
What is the approximate value of 2π-√3?
2. Replacing the equation with the values:
π = 3.1416
√3 = 1.7321
2π-√3
2 (3.1416) - 1.7321 = 6.2832 - 1.7321 = 4.5511
4.55 (Rounding to two decimal places)
<u>The correct answer of 2π - 3 is D.4.55</u>