Question

I need help I really don't get this ?

Answer 1

466,207,795.2 cm^3

Explanation:

The equation to find both, the volume of the sphere and cube, are given.

The sphere:

V =
`(4)/(3)`πr^3

the radius is 7 ft therefore

V =
`(4)/(3)`π7^3

The problem says to use 3 for pie therefore

V =
`(4)/(3)`(3)7^3

7 to the power of three is

V =
`(4)/(3)`(3)343

`(4)/(3)` and 3 cancel each other out to equal 4

V = 4 × 343

V = 1,372 ------> volume of sphere

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The cube:

V = Legth × width × height

V = 12 × 12 × 12

V = 1,728 ------> volume of cube

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Total volume:

1,372 + 1,728 = 3,100 ft^3

But the question asks for the mesurement in centimeters so convert feet to centimeters using a calculator :)

3,100 ft^3 = 87,782,080 cm^3

Answer 2

The radius of the circle is 7 which is r in the eq.
put 7 instead of r in the volume of sphere formula.
Then multiply all sides of square which will be 12 x 12 x 12 = 1728
Now add the values from both shapes
1728 + 1436.75
Your answer will be 3163.5 cm(cubed)