Answer:
466,207,795.2 cm^3
Step-by-step explanation:
The equation to find both, the volume of the sphere and cube, are given.
The sphere:
V = [tex]\frac{4}{3}[/tex]πr^3
the radius is 7 ft therefore
V = [tex]\frac{4}{3}[/tex]π7^3
The problem says to use 3 for pie therefore
V = [tex]\frac{4}{3}[/tex](3)7^3
7 to the power of three is
V = [tex]\frac{4}{3}[/tex](3)343
[tex]\frac{4}{3}[/tex] 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
