Kendra wants to purchase a bead necklace made of Jade. The cost depends on the amount of Jade in the necklace. Each bead is 7 mm in diameter and there are 100 beads in the necklace. What is the amount of Jade in the necklace in cubic centimeters?

Please can you help me with the formula and the steps in getting the answer? I really appreciate your time and help.

Sure! To find the amount of Jade in the necklace in cubic centimeters, we need to calculate the volume of each bead and multiply it by the number of beads in the necklace.

The formula to calculate the volume of a sphere is V = (4/3) * π * r^3, where V is the volume and r is the radius of the sphere.

In this case, the diameter of each bead is given as 7 mm. To find the radius, we divide the diameter by 2:

radius = diameter / 2 = 7 mm / 2 = 3.5 mm

Now we can convert the radius to centimeters:

radius = 3.5 mm / 10 = 0.35 cm

Now we can substitute the radius value into the volume formula:

V = (4/3) * π * (0.35 cm)^3

Using the value of π as approximately 3.14, we can calculate the volume of each bead:

V = (4/3) * 3.14 * (0.35 cm)^3

V ≈ 0.179 cubic centimeters (rounded to three decimal places)

Now, to find the total amount of Jade in the necklace, we multiply the volume of each bead by the number of beads in the necklace:

Total amount of Jade = 0.179 cubic centimeters/bead * 100 beads

Total amount of Jade ≈ 17.9 cubic centimeters (rounded to one decimal place)

Therefore, the amount of Jade in the necklace is approximately 17.9 cubic centimeters.