Question - at a frozen yogurt store, customers are given the option of a juice-filled gelatin sphere as a yogurt topping. each sphere contains 36π cubic millimeters of juice. which statements are accurate?
a) the radius of the sphere is 3 millimeters.
b) the circumference of the sphere is 6π millimeters.
c) the radius of the sphere is 9 millimeters.
d) the circumference of the sphere is 18π millimeters.
e) the radius of the sphere is 12 millimeters.
f) the circumference of the sphere is 24π millimeters.

Step-by-step explanation:

Based on the answer selections, it appears we need to find the radius and circumference of the sphere. We can start with the volume formula in terms of the radius:

  V = (4/3)πr³

  36π = (4/3)πr³

  (36π)(3/(4π)) = r³ = 27 . . . . . . mm³

  r = ∛27 = 3 . . . . mm³

Then the circumference is ...

  C = 2πr = 2π(3 mm) = 6π mm

The radius is 3 mm; the circumference is 6π mm.

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2

66.666666667%

step-by-step explanation:

divide 150 by 100

divide 100 by 1.5

there you go!

decreased by 33.333333334%