Exploring the Volume of Cylinders

The video tutorial begins with a review of calculating the area of circles, emphasizing the formula Pi * radius^2 and using examples to illustrate the process. The instructor highlights the importance of leaving Pi as a symbol rather than using its numerical approximation. The lesson then transitions to calculating the volume of cylinders, introducing the formula V = Pi * radius^2 * height. The instructor provides step-by-step examples, demonstrating how to handle given diameters by converting them to radii and using a calculator for computations. The video concludes with a reminder to take notes and practice the problems.

What is the area of a circle with a radius of 7 meters?

• 21 Pi square meters

• 7 Pi square meters

• 14 Pi square meters

• 49 Pi square meters

If the diameter of a circle is 12 cm, what is the radius?

• 3 cm

• 6 cm

• 24 cm

• 12 cm

Using Pi as 3.14, calculate the volume of a cylinder with a radius of 15 and height of 8.

• 6232 cubic meters

• 3780 cubic meters

• 4528 cubic meters

• 5652 cubic meters

What is the volume of a cylinder with a radius of 13 and height of 8 using Pi as 3.14?

• 4245.28 cubic meters

• 2653.98 cubic meters

• 3141.59 cubic meters

• 5026.55 cubic meters

For a cylinder with a diameter of 18t and height of 17t, what is the radius used in the volume calculation?

• 36t

• 18t

• 4.5t

• 9t

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

• Pi * radius^3

• Pi * radius^2 * height

• 2 * Pi * radius * height

• Pi * radius * height

Calculate the volume of a cylinder with a radius of 12.6 and height of 16.8 using Pi as 3.14, rounded to the nearest hundredth.

• 8375.00 cubic meters

• 8374.91 cubic meters

• 8374.52 cubic meters

• 8373.89 cubic meters

What is the volume of a cylinder with a radius of 5 and height of 5 using Pi as 3.14?

• 785 cubic meters

• 157 cubic meters

• 392.5 cubic meters

• 196.25 cubic meters

If the diameter of a cylinder is 36.8, what is the radius used in the volume calculation?

• 36.8

• 9.2

• 18.4

• 73.6

Calculate the volume of a cylinder with a radius of 18.4 and height of 16.5 using Pi as 3.14, rounded to two decimal places.

• 17539.89 cubic meters

• 17540.52 cubic meters

• 17541.00 cubic meters

• 17540.79 cubic meters