The height and radius are the same in both cylinders. Which cylinder has the greatest volume?
1 answer:
The correct answer is
<span>C) The volume is the same in both cylinders.
In fact, the volume of a cylinder is:
</span>
<span>where r is the radius of the base and h the height of the cylinder. This formula is valid for both right and non-right cylinders, and since the two cylinders in the figure have same radius and height, their volume is equal.</span>
<span>C) The volume is the same in both cylinders.
In fact, the volume of a cylinder is:
</span>
<span>where r is the radius of the base and h the height of the cylinder. This formula is valid for both right and non-right cylinders, and since the two cylinders in the figure have same radius and height, their volume is equal.</span>
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Ah, direct variation/proportion.
That is simply a linear equation with a y-intercept of 0.
So... let's solve this.
Simply put, a direct variation multiplies the x-value by a constant to get the y-value.
Let's take the point
on this graph and solve for the constant of proportionality:
We easily solve that and get our answer of
. (B)
That is simply a linear equation with a y-intercept of 0.
So... let's solve this.
Simply put, a direct variation multiplies the x-value by a constant to get the y-value.
Let's take the point
We easily solve that and get our answer of