[size=150]The volume of this cylinder is [math]175\pi[/math] cubic units.[/size][br][img]data:image/png;base64,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[/img][br]What is the volume of a cone that has the same base area and the same height?

[size=150]A cone has volume [math]12\pi[/math] cubic inches. Its height is 4 inches. What is its radius?[/size]

If the cone’s radius is 1, what is its height?

If the cone’s radius is 2, what is its height?

If the cone’s radius is 5, what is its height?

If the cone’s radius is [math]\frac{1}{2}[/math], what is its height?

If the cone's radius is [math]r[/math], then what is the height?

[size=150]A room is 15 feet tall. An architect wants to include a window that is 6 feet tall. The distance between the floor and the bottom of the window is b feet. The distance between the ceiling and the top of the window is a feet. This relationship can be described by the equation [math]a=15-\left(b+6\right)[/math][/size][br][br]Which variable is independent based on the equation given?

If the architect wants [math]b[/math] to be 3, what does this mean?

What value of [math]a[/math] would work with the given value for [math]b[/math]?

The customer wants the window to have 5 feet of space above it. Is the customer describing [math]a[/math] or [math]b[/math]?

What is the value of the other variable?