Exploring Surface Area and Volume of Spheres

This video tutorial covers the concepts of spheres, including their surface area and volume. It explains the properties of spheres, how they relate to circles, and provides formulas for calculating surface area and volume. The video includes examples to demonstrate these calculations, emphasizing the importance of using the correct formulas and understanding the role of the radius in these calculations.

What is the shape defined as all points equidistant from a center point in three dimensions?

• Cube

• Sphere

• Cylinder

• Cone

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

• 2πr^2

• 6πr^2

• πr^2

• 4πr^2

If the diameter of a sphere is 14 inches, what is its radius?

• 3.5 inches

• 14 inches

• 28 inches

• 7 inches

How do you calculate the surface area of a sphere with a radius of 7 inches?

• 196π

• 49π

• 392π

• 28π

If the surface area of a sphere is given as 100π square meters, what is the radius?

• 25 meters

• 20 meters

• 10 meters

• 5 meters

What is the correct way to express the surface area of a sphere in terms of π?

• Multiply the result by π

• Add π to the result

• Subtract π from the result

• Divide the result by π

What is the volume formula for a sphere?

• πr^3

• 3/2πr^3

• 2/3πr^3

• 4/3πr^3

For a sphere with a radius of 6, what is the volume in terms of π?

• 216π

• 288π

• 72π

• 144π

How do you calculate the volume of a sphere using a calculator?

• Add the radius three times

• Use the exponent function for the radius cubed

• Multiply the radius by itself twice

• Divide the radius by three

What is the volume of a sphere with a diameter of 60 inches?

• 22618 cubic inches

• 45236 cubic inches

• 11309 cubic inches

• 33927 cubic inches