Question

Which sphere has a volume of 0.288π in³?

A) 0.3 in.
B) 0.5 in.
C) 0.6 in.
D) 0.7 in.

Answer 1

The sphere that has a volume of 0.288π in³ is the one with a radius of approximately 0.6 inches, which corresponds to option C) 0.6 in.

Step-by-step explanation:

To find out which sphere has a volume of 0.288π in³, we can use the formula for the volume of a sphere, which is V = (4/3)πr³. In this case, we set the volume equal to 0.288π and solve for r, which is the sphere's radius.

Equating the formula to the given volume:

0.288π = (4/3)πr³

To solve for r, we divide both sides by π, which cancels out the π. Then we multiply both sides by (3/4) to isolate r³.

(3/4) × 0.288 = r³

r³ = 0.216

Then we find the cube root of 0.216 to get r:

r =
`\sqrt{[3]{0.216}}`

≈ 0.6 inches

Hence, the sphere with the given volume has a radius of approximately 0.6 inches, so the correct answer is C) 0.6 in.