Cylinder Volume and Radius Calculations

The video tutorial covers the calculation of the volume of cylinders, including finding the volume using the base area and height, determining the height of a cylinder when the volume is known, and calculating the radius of a can. It also discusses the practical application of these calculations in determining the number of safety barrels needed to hold a specific volume of sand.

What is the formula for calculating the volume of a cylinder?

• Base area times height

• Base area plus height

• Base area divided by height

• Base area minus height

If the radius of a cylinder is 3 and the height is 6, what is the exact volume?

• 36π cubic meters

• 18π cubic meters

• 27π cubic meters

• 54π cubic meters

Why is the volume of a cylinder expressed in cubic units?

• Because it is a four-dimensional measurement

• Because it is a one-dimensional measurement

• Because it is a three-dimensional measurement

• Because it is a two-dimensional measurement

How do you find the height of a cylinder if the volume and radius are known?

• Divide the volume by the base area

• Multiply the volume by the base area

• Subtract the base area from the volume

• Add the base area to the volume

What is the radius of a cylinder if the volume is 300 cubic centimeters and the height is 14 cm?

• 2.6 cm

• 2.0 cm

• 3.5 cm

• 3.0 cm

What is the first step in finding the radius of a cylinder when given the volume and height?

• Calculate the surface area

• Calculate the diameter

• Calculate the base area

• Calculate the circumference

If a city manager needs 15 cubic meters of sand, how many barrels are required if each barrel holds 0.7 cubic meters?

• 18 barrels

• 19 barrels

• 20 barrels

• 21 barrels

What is the diameter of a barrel if its radius is 0.45 meters?

• 0.45 meters

• 1.8 meters

• 0.9 meters

• 0.5 meters

How do you calculate the volume of a barrel with a radius of 0.45 meters and a height of 1.2 meters?

• π × (0.45)^2 × 1.2

• π × 0.45 × 1.2

• π × (0.45)^2

• π × 1.2

What is the approximate volume of a barrel with a radius of 0.45 meters and a height of 1.2 meters?

• 1.0 cubic meters

• 0.5 cubic meters

• 0.9 cubic meters

• 0.7 cubic meters