A sphere fits snugly inside a cube with 6-in. edges. what is the approximate volume of the space between the sphere and cube to the nearest whole number?

Answers

Answer 1

Answer:

Answer:

103 cube inches

Step-by-step explanation:

Since sphere fits snugly inside a cube therefore diameter of sphere will be equal to side of the cube [ which is given to be 6 inches ]

diameter = 6 inches

radius = $(diameter )/(2)$

= $(6 )/(2)$

= 3 inches

Volume of the sphere is given by $(4)/(3)\pi r^3$

here r =3 inches

therefore volume is= $(4)/(3)\pi 3^3$

= 36 pi

= 36 ( 3.142)

= 113.097 cube inches

Volume of Cube = side x side xside = 6x6x6 = 216 cube inches

Volume of space between sphere and cube = 216 - 113.097= 102.9 cube inches , nearest whole number is 103 cube inches

Answer 2

Answer: Volume of cube=s^3
s=6
V of cube=216
Volume of sphere=(4/3)pi(r^3)
r=3, if diameter=6
(4/3)(pi)(3^3)
V of sphere=36pi
Vcube-Vsphere=102.9026645
=103

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Answers

Answer:

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Step-by-step explanation:

Calculator

Answer:

-10.47 is the answer

Step-by-step explanation:

Calculator

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Answers

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Answers

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answer:

Step-by-step explanation:

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