Introduction to the Volume of a Sphere Assignment

What is the volume of a sphere with a radius of 7 cm? Sphere V = 43πr3 1. Substitute the radius into the formula: V = 43π(73) 2. Evaluate the power: V = 43π(343) 3. Simplify: V = cm3

1372/3

Consider the sphere. Identify the parts of a sphere. represents the diameter. represents the radius.

d a

Consider this sphere inside the cylinder. Which statements are true? Check all that apply. The height of the cylinder is equal to the diameter of the sphere. The height of the cylinder is two times the diameter of the sphere. The radius of the sphere is half the height of the cylinder. The diameter of the sphere is equal to the radius of the cylinder. The volume of the sphere is two-thirds the volume of the cylinder.

A,C,E

What is the volume of a sphere with a radius of 3/2 feet?The volume is ft3.

9/2

Lara found the volume of a sphere with a diameter of 10. V = 43π(103) 1. V = 43π(1000) 2. V = 40003πunits3 Analyze Lara's work. Is she correct? If not, what was her mistake? Yes, she is correct. No, she used the diameter instead of the radius measure. No, she should have multiplied 4 and 10 first before applying the exponent. No, her units should be squared for volume.

B. No, she used the diameter instead of the radius measure.

This sphere has a diameter of 5 m. What is the volume of the sphere? V= 9/2 π m3 V=125/6 π m3 V= 500/3 πm3 V= 4000/3 πm3

B. V=125/6 π m3

Which sphere has a volume of 0.288 π in.^3?

C

Consider this sphere with a diameter of 5 m. What can be concluded about the sphere? Check all that apply. The sphere has a radius of 10 cm. The diameter measure is substituted into the formula to find the volume. The radius is half the diameter. The formula to apply is V= 4/3 Bh The volume of the sphere is two-thirds the volume of a cylinder with the same radius and height.

C,E

When given the diameter of a sphere, how can the volume be calculated? Describe the steps needed to find the volume.

Sample Response: When given the diameter, divide it in half to find the radius measure. Then, substitute the radius measure into the formula. Cube the radius and multiply by 4/3. Write the result followed by pi and the label for the units.