johnathonsamuels901
Answered

Welcome to Westonci.ca, your go-to destination for finding answers to all your questions. Join our expert community today! Get immediate and reliable answers to your questions from a community of experienced professionals on our platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

In the diagram the sphere touches each face of the cube at one point-the center of each face. if each side of the cube is 7cm, what is a reasonable estimate for the unoccupied volume of the cube?
a: 120cm3
b: 140cm3
c: 160cm3
d: 180cm3

In The Diagram The Sphere Touches Each Face Of The Cube At One Pointthe Center Of Each Face If Each Side Of The Cube Is 7cm What Is A Reasonable Estimate For Th class=

Sagot :

Answer:

C

Step-by-step explanation:

Te unoccupied volume (V) of the cube is calculated as

V = volume of cube - volume of sphere

   = 7³ - [tex]\frac{4}{3}[/tex] πr³ ( r is the radius and r = 7 ÷ 2 = 3.5 )

   = 343 - [tex]\frac{4}{3}[/tex] π × 3,5³

   = 343 - [tex]\frac{4}{3}[/tex] π × 42.875

   = 343 - 179.59438

   = 163.4....

    ≈ 160 cm³ ( to the nearest 10 cm³ )

Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.