Calculating the Radius of a Cylinder from Volume and Height

The video tutorial explains how to find the radius of a cylinder given its volume and height. It starts by introducing the problem of a water tower needing to hold a specific volume of water. The formula for the volume of a cylinder, V = πr²h, is introduced and used to solve for the radius. The tutorial walks through the steps of substituting known values, isolating the radius, and performing calculations to find the approximate radius of the cylinder. The final result is calculated and presented as approximately 6.68 feet.

What is the given height of the water tower?

• 1,400 cubic feet

• 10 feet

• 6.68 feet

• 44.56 feet

What formula is used to calculate the volume of a cylinder?

• V = πr^2

• V = πr^2h

• V = 2πrh

• V = πr(h + r)

What is the volume of the water tower?

• 1,400 cubic feet

• 1,400 cubic meters

• 6.68 cubic feet

• 10 cubic feet

How do you isolate the radius in the formula?

• Multiply by π and h

• Divide by π and h

• Divide by 10 and π

• Multiply by 10 and π

What operation is performed first to solve for the radius?

• Squaring the radius

• Taking the square root

• Dividing by π and 10

• Multiplying by the height

What is the value of R squared after simplification?

• 44.56

• 10

• 1,400

• 6.68

How do you find the radius from R squared?

• Multiply by π

• Divide by π

• Square the result

• Take the square root

What is the approximate radius of the water tower?

• 6.68 feet

• 1,400 feet

• 10 feet

• 44.56 feet

What is the final step in finding the radius?

• Multiplying by π

• Dividing by the height

• Taking the square root of R squared

• Squaring the volume