The volume of a sphere is given by the formula V = 4/3πr3, where r is the radius of the sphere. Which of the following gives the radius of the sphere in terms of the volume of the sphere?
Correct answer: D. 3√3V/4π
- A. 4π/3V
- B. 3V/4π
- C. 3√4π/3V
- D. 3√3V/4π
Explanation
Choice D is correct. Dividing both sides of the equation V = 4/3 πr3 by 4/3π results in 3V/4π = r3. Taking the cube root of both sides produces 3 √3V/4π = r. Therefore, 3 √3V/4π gives the radius of the sphere in terms of the volume of the sphere.
Last updated
Related questions
(1/2x+1) + 5Which of the following is equivalent to the expression above for x > 0?
1/400 in percentage =
100 oranges are bought at the rate of Rs. 350 and sold at the rate of Rs. 48 per dozen. The percentage of profit or loss is:
100 oranges are bought at the rate of Rs. 350 and sold at the rate of Rs. 48 per dozen. The percentage of profit or loss is:
|14| * |-2|=?