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How do you find the volume of the sphere in terms of #pi# given #V=4/3pir^3# and r= 1.5m?

Answer 1

Ella Armstrong

#V=4.5 pi " m"^3#

"in terms of #pi#" means that we leave #pi# in it's symbolic form.

So, to solve, plug the given value of #r# into the Volume equation:

#V=4/3 pi r^3#

#V=4/3 pi (1.5"m")^3#

#V=4/3 pi (3.375 "m"^3)#

#V=4.5 pi " m"^3#

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Answer 2

Sophia Alfred

To find the volume of the sphere in terms of π given ( V = \frac{4}{3}\pi r^3 ) and ( r = 1.5 ) meters:

[ V = \frac{4}{3}\pi (1.5)^3 ] [ V = \frac{4}{3}\pi \times 3.375 ] [ V = \frac{4 \times 3.375}{3}\pi ] [ V = \frac{13.5}{3}\pi ] [ V = 4.5\pi ]

So, the volume of the sphere in terms of ( \pi ) is ( 4.5\pi ) cubic meters.

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