Volume and Radius of Spheres

This video tutorial explains how to calculate the volumes of spheres and hemispheres. It introduces the formula for the volume of a sphere and demonstrates how to use it. The video also covers two methods for finding the volume of a hemisphere: using the sphere formula and dividing by two, or using a specific hemisphere formula. Additionally, it shows how to find the radius of a sphere given its volume by rearranging the formula. The tutorial concludes with a summary and encourages viewers to like and subscribe.

What shapes are discussed in the video for volume calculation?

• Cubes and Cuboids

• Spheres and Hemispheres

• Cylinders and Cones

• Pyramids and Prisms

What is the formula for the volume of a sphere?

• πr³

• 4/3 πr²

• 2/3 πr³

• 4/3 πr³

If a sphere has a radius of 5 cm, what is its volume?

• 550 cm³

• 600 cm³

• 524 cm³

• 500 cm³

What is the volume of a sphere with a radius of 3 cm?

• 113 cm³

• 36 cm³

• 27 cm³

• 33 cm³

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

• 268 cm³

• 300 cm³

• 256 cm³

• 268 cm³

What is the volume of a sphere with a radius of 6 cm?

• 900 cm³

• 904 cm³

• 850 cm³

• 904 cm³

How do you calculate the volume of a hemisphere using the sphere formula?

• Subtract 100 from the sphere volume

• Multiply the sphere volume by 2

• Divide the sphere volume by 2

• Add 100 to the sphere volume

What is the formula for the volume of a hemisphere?

• 3/4 πr³

• πr³

• 2/3 πr³

• 4/3 πr³

What is the volume of a hemisphere with a radius of 5 cm using its own formula?

• 262 cm³

• 300 cm³

• 524 cm³

• 600 cm³

Which method can be used to find the volume of a hemisphere?

• Neither formula

• Only the hemisphere formula

• Only the sphere formula

• Either the sphere or hemisphere formula