Exploring Volume Calculations of 3D Shapes

The video tutorial covers the calculation of volumes for cylinders, cones, and spheres. It begins with an introduction to the volume formula for cylinders, followed by practical examples. The tutorial then transitions to cones, explaining the formula and providing examples. Finally, it introduces the volume calculation for spheres, again with examples. The video emphasizes the importance of understanding the formulas and applying them to solve problems.

What is the formula for the volume of a cylinder?

• V = 2πrh

• V = 4/3πr^3

• V = πr^3

• V = πr^2h

If a cylinder has a radius of 4 meters and a height of 7 meters, what is its volume?

• 200 m^3

• 351.68 m^3

• 88 m^3

• 100 m^3

What modification to the cylinder volume formula is used for cones?

• Multiply by 1/3

• No modification needed

• Multiply by 2/3

• Multiply by 1/2

For a cone with a radius of 9 and height of 12, rounded to the nearest tenth, what is the volume?

• 1017.4 km^3

• 3052.2 km^3

• 2034.8 km^3

• 1526.1 km^3

What is the volume of a cone with a radius of 12.3 cm and height of 15 cm, rounded to the nearest tenth?

• 4750.6 cm^3

• 3562.95 cm^3

• 2375.3 cm^3

• 1187.65 cm^3

How do you find the radius from the diameter?

• Multiply the diameter by 2

• Square the diameter

• Divide the diameter by 2

• Square root of the diameter

For a cone with a diameter of 18 feet and height of 27 feet, what is the volume?

• 3000 ft^3

• 4578.2 ft^3

• 2289.1 ft^3

• 1500 ft^3

What is the volume of a sphere with a radius of 4 inches?

• 267.9 in^3

• 400 in^3

• 300 in^3

• 200 in^3

What is the formula for the volume of a sphere?

• V = 4/3πr^3

• V = πr^2h

• V = πr^3

• V = 2πrh

If a sphere has a diameter of 26 mm, what is its volume?

• 10000 mm^3

• 7500 mm^3

• 5000 mm^3

• 9998.1 mm^3