Acylinder and a cone have the same volume. the cylinder has a radius of 2 inches and a height of 3 inches. the cone has a radius of 3 inches. what is the height of the come?

4 inches

Step-by-step explanation:

The volume of the cylinder is:

V = π r² h

V = π (2)² (3)

V = 12π

The cone has the same volume, so its height is:

V = ⅓ π r² h

12π = ⅓ π (3)² h

12π = 3π h

h = 4

The height of the cone is 4 inches.

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w