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delaneymaufroy29
17.07.2019 •
Mathematics
Acylinder and a cone have the same diameter: 8 inches. the height of the cylinder is 9 inches. the height of the cone is 18 inches.
use π = 3.14.
what is the relationship between the volume of this cylinder and this cone? explain your answer by determining the volume of each and comparing them. show all your work.
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Ответ:
The volume of the cylinder is 3/2 the volumen of the cone.
Step-by-step explanation:
The volume V of a cone with radius r is: (πr^2h)/3
The volume V of a cylinder with radius r is: πr^2h
If the diameter of both, the cylinder and the cone, is the same, the radius is the same too.
The radius is 1/2 the diameter.
d= 8 in
r= 8 in/2= 4 in
The height of the cylinder is 9 inches. The height of the cone is 18 inches.
We calculate the volume of each solid with the formulas mentioned before, using π = 3.14
V of the cone= (3.14)(4 in)(4 in)(18 in)/3 in= 301.44 in^3
V of the cylinder= (3.14)(4 in)(4 in)(9 in)= 452.16 in^3
Now, to calculate the relationship between the volume of this cylinder and this cone we compare them through a division.
452.16 in^3/ 301.44 in^3= 1.5 = 3/2
That means the volume of the cylinder is 3/2 the volume of the cone:
(301.44 in^3)(3/2)= 452.16in^3
Ответ:
Step-by-step explanation:
Figure it out yerself