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Crank
3 years ago
8

What is the volume of a sphere with a radius of 9.5 ft, rounded to the nearest tenth of a cubic foot?

Mathematics
1 answer:
DiKsa [7]3 years ago
6 0

Answer:

V = 3591.4 ft³

Step-by-step explanation:

The formula for the volume of a sphere whose radius is given is

V = (4/3)πr³

Here we have   V = (4/3)(3.14)(9.5 ft)³, or:

                          V = 3591.4 ft³

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\boxed{\sf d = -1 \ \ \ or \ \ \ d = -7}

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\sf Solve \:  for  \: d  \: over  \: the  \: real  \: numbers: \\  \sf \implies {(d + 4)}^{2}  = 9 \\  \\  \sf Take  \: the \:  square  \: root \:  of  \: both \:  sides: \\  \sf \implies \sqrt{ {(d + 4)}^{2} }  =  \sqrt{9}  \\  \\  \sf 9 =  {3}^{2} :   \\  \sf \implies \sqrt{ {(d + 4)}^{2} }  =  \sqrt{ {(3)}^{2} }  \\  \\  \sf \implies d + 4 =  \pm 3 \\  \\  \sf \implies d + 4 = 3 \:  \:  \:  \:  \: or \:  \:  \:  \:  \: d + 4 =  - 3 \\  \\  \sf Subtract  \: 4  \: from \:  both \:  sides:   \\ \sf \implies d + (4  - 4)= 3 - 4 \:  \:  \:  \:  \: or \:  \:  \:  \:  \: d + (4 - 4) =   - 3  - 4  \\  \\ \sf \implies d =  - 1 \:  \:  \:  \:  \: or \:  \:  \:  \:  \: d  =  - 7

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