Exploring Surface Area and Volume of Spheres

This video tutorial covers the geometry of spheres, focusing on calculating their surface area and volume. It begins with an introduction to spheres, followed by detailed explanations and examples of how to compute the surface area using the formula 4πr². The tutorial then transitions to calculating the volume of a sphere using the formula 4/3πr³, providing step-by-step instructions and examples. The video emphasizes the importance of using the correct values for π and the radius, and it includes practical tips for using calculators effectively.

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

• 2πr^2

• 4πr^2

• πr^3

• 2πr^3

If the radius of a sphere is 11 inches, what is its surface area using π as 3.14?

• 1570 inches squared

• 314 inches squared

• 706.5 inches squared

• 1519.8 inches squared

How do you calculate the radius of a sphere from its diameter?

• Multiply the diameter by 2

• Divide the diameter by 2

• Square the diameter

• Square root of the diameter

What is the surface area of a sphere with a diameter of 15 cm using π as 3.14?

• 1412 cm squared

• 353.25 cm squared

• 2824 cm squared

• 706.5 cm squared

What is the formula for calculating the volume of a sphere?

• (1/3)πr^3

• 4πr^3

• (4/3)πr^3

• πr^2

What is the correct way to divide the diameter to find the radius?

• Multiply by 0.5

• Divide by 2

• Add 2

• Subtract by 2

When calculating the volume of a sphere, what mathematical operation is applied to the radius?

• It is cubed

• It is squared

• It is halved

• It is doubled

If the radius of a sphere is 17 inches, what is its volume using π as 3.14?

• 41138 inches cubed

• 5146.25 inches cubed

• 10384.5 inches cubed

• 20569 inches cubed

How do you type a number cubed into a calculator?

• Type the number and press the square root button

• Type the number and press the cube root button

• Type the number and multiply it by three

• Type the number and press the cube button

What is the volume of a sphere created by spinning a nickel, if the diameter is given and π is 3.14?

• 9986.8 mm cubed

• 4993.4 mm cubed

• 2496.7 mm cubed

• 1248.35 mm cubed