adrianamunn
29.09.2019 •
Mathematics
Ithink of a number double it add 15 my number is 21 what number was i thinking about
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Ответ:
Hello from MrBillDoesMath!
3
Discussion:
Let the number be "n",
2n + 15 = 21 => subtract 15 from both sides
2n = 21 - 15 = 6 => divide both sides by 2
n = 6/2 = 3
Check: Start with 3. Double it (gives 6), add 15 to it ( 6 + 15) which gives 21/
Thank you,
MrB
Ответ:
The question is incomplete. The complete question is :
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 54 meters cubed. Amie found the volume of the sphere. A sphere with height h and radius r. A cylinder with height h and radius r. Her work is shown below. V = two-thirds + 54. V = two-thirds + StartFraction 162 Over 3 EndFraction. V = StartFraction 164 Over 3 EndFraction meter cubed. What is Amie's error?
Solution :
Amie should have multiplied 54 by two-thirds.
Given that sphere and the cylinder have the same radius as well as same height. The volume of the cylinder is 54 inch cube.
Volume of the sphere = .......... (i)
Volume of cylinder = ....................(ii)
Therefore, the ratio of sphere volume to cylinder volume is,
......(iii)
Divide both the sides by , we get
..........(iv)
We know that the height of the sphere = diameter of the sphere
The diameter of the sphere is D = 2r
Also the sphere height = cylinder height
So, the height of the cylinder = 2r
Therefore, substituting the height of the cylinder as 2r that is represented as h in equation (iv) is given by :
.............(v)
Now dividing both the sides by 2r, we get
..................(vi)
Thus for equation (vi), we see, sphere volume = of the cylinder volume
∴ sphere volume =
= 36 meter cube
Thus, Amie should have multiplied 54 by .