Question

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.

Answer 1

a and b is the answer

Explanation:

Answer 2

• A) The radius of the sphere is 3 millimeters.
• B) The circumference of the sphere is 6π millimeters.

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.