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krek1111 [17]
3 years ago
13

The diameter of a sphere is 12 inches.what is the volume of the sphere to the nearest cubic inch ?

Mathematics
1 answer:
miss Akunina [59]3 years ago
4 0

Answer:

The volume of the sphere is 288π or 904.778 cubic inches.

Step-by-step explanation:

given \\ diameter \: of \: sphere \:  = 12 \: inches \\ radius \: of \: sphere \:  =  \frac{diameter}{2}  \\ radius \:  =  \frac{12}{2}  = 6 \: inches \\ volume \: of \: sphere \:  =  \frac{4}{3} \pi \:  {r}^{3}  \\ here \: r \:  =  \: 6 \: in \\ volume \: of \: sphere = \frac{4}{3} \pi  \:  {6}^{3}  \\ \\ volume \: of \: sphere = \frac{4}{3} \pi  \times 216 \\  \:  \:  = 4\pi \times 72 \\  \:  \:  = 288\pi \\  \:  \:  = 904.778 \: cubic \: inches

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