Volume of Spheres and Hemispheres

The video tutorial covers the volume formulas for spheres and hemispheres, explaining the differences from cylinders and cones. It provides step-by-step calculations for finding the volume of spheres, hemispheres, and objects like soccer balls, both in numerical terms and in terms of pi. The tutorial also includes examples of calculating the total volume of multiple spherical objects.

What is the formula for the volume of a sphere?

• V = 4/3 π r^2

• V = 4/3 π r^3

• V = 2/3 π r^3

• V = π r^3

What is the only variable needed to calculate the volume of a sphere?

• Height

• Radius

• Circumference

• Diameter

How do you find the volume of a hemisphere?

• Use the sphere formula and add 2

• Use the sphere formula and subtract 2

• Use the sphere formula and divide by 2

• Use the sphere formula and multiply by 2

Which of the following is NOT a difference between the volume formulas of spheres and cones?

• Spheres do not have a base area, cones do

• Spheres use a fraction of 4/3, cones use 1/3

• Spheres have a base area, cones do not

• Spheres use radius cubed, cones use radius squared

If the radius of a sphere is 2.5, what is the volume rounded to the nearest hundredth?

• 60.42 inches cubed

• 70.42 inches cubed

• 75.42 inches cubed

• 65.42 inches cubed

Given a diameter of 30, what is the radius of the sphere?

• 25

• 10

• 15

• 20

What is the volume of a sphere with a radius of 15?

• 14,130 millimeters cubed

• 15,130 millimeters cubed

• 13,130 millimeters cubed

• 16,130 millimeters cubed

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

• Use the sphere formula and multiply by 2

• Use the sphere formula and divide by 3

• Use the sphere formula and multiply by 3

• Use the sphere formula and divide by 2

What is the volume of a hemisphere with a radius of 17.5?

• 11,218.96 centimeters cubed

• 10,218.96 centimeters cubed

• 13,218.96 centimeters cubed

• 12,218.96 centimeters cubed

How do you express the volume of a sphere in terms of pi?

• Multiply all numbers including pi

• Multiply all numbers except pi and add pi at the end

• Divide all numbers by pi

• Subtract pi from all numbers