Exploring Surface Area and Volume of Spheres

The video tutorial covers the concepts of surface area and volume of spheres. It begins with an introduction to spheres as 3D circular shapes, followed by a detailed explanation of the formulas for calculating surface area and volume. The tutorial includes examples and practice problems to help understand the application of these formulas. Key concepts such as the relationship between diameter, radius, and circumference are also discussed.

What shape in 3D is described as a sphere?

• A circle in three dimensions

• A rectangle

• A pyramid

• A cube

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

• PI R squared

• 2 PI R squared

• 4 PI R squared

• 6 PI R squared

How do you find the radius if you are given the diameter of a sphere?

• Square root the diameter

• Multiply the diameter by 2

• Divide the diameter by 2

• Square the diameter

If the circumference of a sphere is 10 PI meters, what is the radius?

• 5 meters

• 20 meters

• 10 meters

• 2.5 meters

If a sphere has a diameter of 19, what is its surface area?

• 361 PI square units

• 180.5 PI square units

• 95.25 PI square units

• 722 PI square units

How do you find the surface area if given the circumference of a sphere?

• Use the circumference to find the radius and then apply the surface area formula

• Directly multiply the circumference by 4

• Divide the circumference by PI and square it

• Multiply the circumference by the radius

What is the formula to calculate the volume of a sphere?

• 3/4 PI R cubed

• PI R squared

• 4/3 PI R cubed

• 2/3 PI R cubed

What is the volume of a sphere with a radius of 20 units?

• 33,510 PI cubic units

• 4,188 PI cubic units

• 8,377 PI cubic units

• 10,666 2/3 PI cubic units

What is the surface area of a sphere with a diameter of 3 meters?

• 9 PI square meters

• 36 PI square meters

• 12 PI square meters

• 28 PI square meters

How do you calculate the volume of a hemisphere with a radius of 5 units?

• Divide the volume of a sphere by 2

• Multiply the volume of a sphere by 2

• Square the radius and then divide by 2

• Use the radius directly in the hemisphere formula