VODUUNIPPO1. Find the radius of a sphere with a volume (V) of 113 mm”.O A.3 mmO B.9 mmO C. 16 mmO D. 12 mmI Mark for review (Will be highlighted on the review page)
Accepted Solution
A:
Answer:r = ∛(3V/4π)Step-by-step explanation:The formula for the volume of a sphere is V = (4/3)πr³.We want to solve this first for r³ and then for r.Multiplying both sides of V = (4/3)πr³ by 3 yields an equation without fractions: 3V = 4πr³.Dividing both sides of this equation by 4π isolates r³: 3Vr³ = ------- 4πTo find r, take the cube root of both sides of 3Vr³ = ------- 4πobtaining r = ∛(3V/4π)