The video tutorial covers the calculation of volume for cylinders, cones, and spheres. It begins with an introduction to volume formulas and their significance. The tutorial then provides step-by-step examples for calculating the volume of cylinders, cones, and spheres using given dimensions. It concludes with problem-solving techniques, where students learn to substitute given values into formulas to find missing variables.

Why is it important to use a formula chart during tests?

• To ensure accuracy in calculations

• To memorize all formulas

• To save time during tests

• To avoid using calculators

What is the formula for the volume of a cylinder?

• 1/3πr²h

• πr²h

• 2πrh

• 4/3πr³

If a cylinder has a radius of 4.5 and a height of 10, what is its volume?

• 785.4 cubic meters

• 500.0 cubic meters

• 636.2 cubic meters

• 452.3 cubic meters

How do you find the radius if the diameter of a cylinder is given?

• Square the diameter

• Multiply the diameter by 2

• Add 2 to the diameter

• Divide the diameter by 2

What is the formula for the volume of a cone?

• 1/3πr²h

• 2πrh

• πr²h

• 4/3πr³

If a cone has a radius of 5 and a height of 8.5, what is its volume?

• 100.0 cubic inches

• 300.0 cubic inches

• 150.0 cubic inches

• 222.5 cubic inches

What is the formula for the volume of a sphere?

• 1/3πr²h

• 2πrh

• πr²h

• 4/3πr³

If a sphere has a diameter of 32, what is its volume?

• 10,000.0 cubic millimeters

• 15,000.0 cubic millimeters

• 17,157.3 cubic millimeters

• 20,000.0 cubic millimeters

How do you find the radius from the circumference of a circle?

• Multiply the circumference by 2π

• Divide the circumference by 2π

• Multiply the circumference by π

• Divide the circumference by π

If the volume of a cone is 12π and the height is 9, what is the radius?

• 4

• 5

• 3

• 2