Solve a literal equation for the height of the volume formula for a cone

The video tutorial explains how to solve the volume formula of a cone for the height. It begins by introducing the formula and the need to isolate the height variable. The instructor demonstrates how to manipulate the equation by dividing out certain terms and handling fractions, ultimately deriving the final equation for height. The tutorial concludes with a summary of the steps taken to solve for height.

What is the formula for the volume of a cone?

• Volume = 1/3πr^2h

• Volume = πr^2h

• Volume = 2πr^2h

• Volume = 1/2πr^2h

Why do we need to solve the volume formula for height?

• To find the radius when height is given

• To find the diameter of the cone

• To calculate the surface area of the cone

• To determine the height when volume and radius are known

What operation is performed to isolate the height variable in the equation?

• Multiply both sides by π

• Divide both sides by π and R-squared

• Add π to both sides

• Subtract R-squared from both sides

What is the purpose of multiplying by the reciprocal of the fraction in the final steps?

• To simplify the equation

• To change the variable

• To eliminate the fraction

• To add a constant to the equation

What is the final equation for height in terms of volume and radius?

• H = 2V / (πr^2)

• H = V / (3πr^2)

• H = V / (πr^2)

• H = 3V / (πr^2)