Sphere Volume and Surface Area Concepts

The video tutorial covers the volume of spheres, starting with the formula 4/3 PI R cubed. It demonstrates how to calculate the volume of a sphere and find the radius when the volume is known. The tutorial also applies these concepts to a real-life problem involving a silo, combining a cylinder and a hemisphere. Finally, it introduces the surface area of a sphere, providing practical examples and calculations throughout.

What is the formula for the volume of a sphere?

• 4/3 π r²

• 4/3 π r³

• π r²

• 2 π r³

If the radius of a sphere is 11, what is the volume rounded to the nearest tenth?

• 5575.7

• 5575.5

• 5575.3

• 5575.9

How do you find the radius of a sphere if the volume is given?

• Divide the volume by 4/3 π and take the cube root

• Multiply the volume by 4/3 π

• Multiply the volume by 3/4 π and take the square root

• Divide the volume by 3/4 π and take the square root

What is the radius of a sphere if its volume is 2304 π?

• 12 cm

• 11 cm

• 13 cm

• 10 cm

In the silo problem, what is the height of the cylinder part?

• 57 feet

• 39 feet

• 48 feet

• 9 feet

What is the total volume of the silo in cubic feet?

• 11450

• 11000

• 12000

• 11500

Which of the following is NOT a step in calculating the volume of a hemisphere?

• Multiply the radius by 3

• Use the formula 2/3 π r³

• Cube the radius

• Calculate the volume of a full sphere and divide by 2

What is the volume of a hemisphere with a radius of 9?

• 486 π

• 243 π

• 972 π

• 729 π

What is the formula for the surface area of a sphere?

• 4 π r²

• π r²

• 4/3 π r³

• 2 π r²

If a sphere has a radius of 5.5 inches, what is its volume to the nearest tenth?

• 380.1

• 381.1

• 382.1

• 383.1