lexied2303
contestada

help please~

A spherical object has a diameter of 18 cm. It has a spherical inner core with a diameter of 9 cm.

What is the volume of the outer layer?

Use 3.14 to approximate pi. Round to the nearest hundredth if necessary.

Respuesta :

samayaperez
The answer is 2670.57 and yes im sure this is right i just finished my quiz! (Please make the answer the brainliest!)

Answer:

2670.57 cm³

Step-by-step explanation:

The volume of a sphere is given by the formula

V = 4/3πr³

The diameter of the entire spherical object is 18 cm.  This makes the radius 18/2 = 9 cm.

This gives us the volume

V = 4/3(3.14)(9³) = 3052.08 cm³

The diameter of the core is 9 cm.  This makes the radius 9/2 = 4.5 cm.

This gives us the volume

V = 4/3(3.14)(4.5³) = 381.51 cm³

This makes the volume of the outer layer

3052.08-381.51 = 2670.57 cm³