Understanding Hemispheres and Volume Calculation

The video tutorial explains that a hemisphere is half of a sphere and to find its volume, you must first calculate the volume of the entire sphere using the formula 4/3 πr³. After obtaining the sphere's volume, divide it by two to get the hemisphere's volume. The tutorial provides a step-by-step example using a sphere with a radius of 5, resulting in a hemisphere volume of 261.67 cm³. The key takeaway is to always remember to divide the sphere's volume by two when dealing with hemispheres.

What is a hemisphere?

• A quarter of a sphere

• A full sphere

• One of two equal halves of a sphere

• A flat circle

Which formula is used to calculate the volume of a sphere?

• 2πr

• 4/3πr³

• πr²

• 3/4πr³

What is the first step in calculating the volume of a hemisphere?

• Multiply the radius by 2

• Calculate the surface area

• Use the formula for the volume of a sphere

• Divide the diameter by 2

After finding the volume of a sphere, what should you do to find the volume of a hemisphere?

• Divide by 2

• Multiply by 2

• Add the diameter

• Subtract the radius

If the volume of a sphere is 523.33 cm³, what is the volume of the corresponding hemisphere?

• 130.83 cm³

• 523.33 cm³

• 261.67 cm³

• 1046.66 cm³