Question

This sphere has a diameter of 5 m.

A sphere with diameter 5 meters.

What is the volume of the sphere?
V = StartFraction 9 Over 2 EndFraction pi m3
V = StartFraction 125 Over 6 Endfraction pi m3
V = StartFraction 500 Over 3 EndFraction pi m3
V = StartFraction 4,000 Over 3 EndFraction m3

Answer 1

Answer:

V = $\frac{125}{6}\pi$  $m^3$

Step-by-step explanation:

The volume of a sphere can be calculated by using the formula:

V =  $\frac{4}{3}\pi r^3$

The diameter is given:

d = 5 m

The radius is half of that:

r = 2.5 m

Now, we can use the formula to find the volume of the sphere:

V = $\frac{4}{3}\pi(2.5)^3$

V = $\frac{4}{3}\pi(15.625)$

V = $\frac{125}{6}\pi$

V = $\frac{125}{6}\pi$  $m^3$

Answer 2

Answer:

Second: V = StartFraction 125 Over 6 Endfraction pi m3

Step-by-step explanation:

Radius = 5/2

Volume is sphere:

(4/3) × pi × r³

(4/3) × (5/2)³ × pi

(4/3)(125/8)pi

125/6 pi.