A cylinder and a cone are shown below.
2 answers:
Answer:
The bases do not have the same area because the volume of the cylinder is not 3 times the volume of the cone, given the same heights.
Step-by-step explanation:
Recall :
V1 = volume of cylinder = πr²h
V2 = volume of a cone = 1/3πr²h
From the diagram, both have height, h of 12
Radius = r
V1 = 2512 in
V2 = 1256 in
From the ratio :
2512 = πr² * 12
1256 = 1/3πr² * 12
12 cancel out as well as r² and π
If the bases have the same area `, then 2512 should be equal to (1256 * 3)
2512 in ≠ 3868 in
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Answer:
Width = 11 yards
Length = 17 yards
Step-by-step explanation:
First of all, the length of the rectangle is 6 yards longer than the width, this means, length = width + 6 yards. This dimensions can be represented on figure 1, where <em>w</em> is width, and <em>l</em>, for length.
We know the area of a rectangle is A = width x length
For our case 187 = w . (w + 6)
Using the Distributive Property for the multiplication we obtain
Using the quadratic formula where a = 1, b = 6, c = - 187 and replacing into the formula, we will have:
We have two options:
Or
But a distance (width) can not be negative so, this answer for w must be discarded.
The answer must be width = 11 yards.
To find the length
