Question A spherical weather balloon is filled with helium. If the diameter of the balloon is 10
feet, how many cubic feet of helium does it hold?
294.4 ft3
523.3 ft3
4186.7 ft3
104.7 ft3

523.3ft³

Step-by-step explanation:

Given

Diameter, D = 10ft

Required

Determine the volume of helium it can hold.

To solve this, we simply calculate the volume of a sphere, which is:

V = 4/3πr³

Where

r = ½D

r = ½ * 10ft

r = 5ft

Substitute 5 for r in the stated formula and take π as 3.14

V = 4/3 * 3.14 * 5³

V = 4/3 * 3.14 * 125

V = ⅓(4 * 3.14 * 125)

V = ⅓ * 1570

V = 523.3 ft³

Hence, the sphere can contain 523.3ft³ of helium

the transverse axis of a hyperbola is the line that contains the two vertices and the two focuses.

in this example (hyperbola of equation x^2/2 - y^2/4 = 1), the transverse axis is the  x-axis  . 

step-by-step explanation:

by definition, an arc subtended by a central angle of some given measure has the same measure. so .