Question

The volume of a sphere is 500
3
πcm3. What is the radius?

Answer 1

Answer:

Step-by-step explanation:

The volume of a sphere is 500 3 πcm3. what is the radius? sphere v = 4 3 πr3 1. substitute value into formula:   500 3 π = 4 3 πr3 2. undo multiplication of 4 3 :     125π = πr3 3. undo multiplication of π:     125 = r3 4. undo cube:          3√125 = r the radius of the sphere is 6 ⇒ 5 cm

Answer 2

Answer:

about 4.9 cm

Step-by-step explanation:

The equation for the volume of a sphere is V= $\frac{4}{3}\pi r^3$ . So, to solve this problem we will plug in 500 for V and solve for the radius, $r$.

1. 500= $\frac{4}{3} \pi r^3$
2. Multiply both sides by 3: $1500=4\pi r^3$
3. Divide both sides by 4: $375=\pi r^3$
4. Divide both sides by $\pi$: $\frac{375}{\pi } =r^3$
5. Find the cubed root of both sides: $4.9237=r$
6. The radius is about 4.9 cm