Answer:
42.42in³
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, a cone
Step one
We know that the volume of a cone is
V= 1/3πr²h
Given data
Diameter d= 6 inches
Radius r= diameter/2= 6/2= 3 inches
Height h = 4.5 inches
Step two
Substituting our given data we have
Volume = 1/3*3.142*3²*4.5
V= 1/3*3.142*9*4.5
V= 127.251/3
V= 42.42in³
Answer:
50km = 0.33cm
280km = 1.87cm
142.5km = 0.95cm
Step-by-step explanation:
Ratio is 0.5/75 = 1/150 cm per km
The answer to an addition problem is called a sum
Hope this helps!
Answer:
A. 22.5 cm, 30 cm, and 37.5 cm
Step-by-step explanation:
If three sides of a triangle are in the ratio 3:4:5, then the lengths of the sides are 3x cm, 4x cm and 5x cm.
The preimeter of the triangle is the sum of the lengths of all sides, thus
![3x+4x+5x=90\\ \\12x=90\\ \\x=\dfrac{90}{12}=\dfrac{30}{4}=7.5\ cm](https://tex.z-dn.net/?f=3x%2B4x%2B5x%3D90%5C%5C%20%5C%5C12x%3D90%5C%5C%20%5C%5Cx%3D%5Cdfrac%7B90%7D%7B12%7D%3D%5Cdfrac%7B30%7D%7B4%7D%3D7.5%5C%20cm)
So, the lengths of the triangle's sides are
![3x=3\cdot 7.5=22.5\ cm\\ \\4x=4\cdot 7.5=30\ cm\\ \\5x=5\cdot 7.5=37.5\ cm](https://tex.z-dn.net/?f=3x%3D3%5Ccdot%207.5%3D22.5%5C%20cm%5C%5C%20%5C%5C4x%3D4%5Ccdot%207.5%3D30%5C%20cm%5C%5C%20%5C%5C5x%3D5%5Ccdot%207.5%3D37.5%5C%20cm)
B because x is the independent variable; you could choose any number for x