Volume and Surface Area Problems

The video tutorial covers the application of volume formulas to solve problems involving cylinders, cones, and spheres. It provides step-by-step solutions to find missing dimensions such as height and radius using given volume and base area or radius. The tutorial includes six problems, demonstrating how to set up equations and solve for unknowns using the formulas for volume of cylinders, cones, and spheres.

What is the first step in applying volume formulas to solve problems?

• Write down the volume formula.

• Substitute the known values into the formula.

• Identify the shape in the question.

• Solve for the missing variable.

Which of the following is NOT a step in solving volume problems?

• Guessing the missing variable.

• Writing down the volume formula.

• Setting up an equation.

• Identifying the given and missing information.

In the first example, what is the formula used to find the height of the cylinder?

• V = 4/3πr³

• V = 1/3Bh

• V = πr²h

• V = Bh

What is the height of the cylinder in the first example?

• 6 feet

• 7 feet

• 8 feet

• 5 feet

In the second example, what is the area of the base of the cylinder?

• 28.26 cm²

• 30.14 cm²

• 25.12 cm²

• 27.18 cm²

What is the height of the cylinder in the second example?

• 11 cm

• 8 cm

• 9 cm

• 10 cm

In the third example, what is the first step to find the radius of the cylinder?

• Find the circumference of the base.

• Find the volume of the cylinder.

• Find the area of the base.

• Find the height of the cylinder.

What is the radius of the cylinder in the third example?

• 11 mm

• 10 mm

• 9 mm

• 8 mm

In the fourth example, what is the formula used to find the height of the cone?

• V = 4/3πr³

• V = 1/3Bh

• V = Bh

• V = πr²h

What is the height of the cone in the fourth example?

• 10 cm

• 12 cm

• 11 cm

• 13 cm