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How do you find the volume of the sphere in terms of #pi# given #V=4/3pir^3# and r=3.6 m?

Answer 1

Aurora Ayala

The volume of the sphere is #62.208pi# #m^3#

As the radius #r# is #3.6# #m#

the volume of the sphere is #V=4/3pir^3=4/3pixx(3.6)^3#

= #4pixx3.6xx3.6xxcancel3.6^1.2/(cancel3^1)#

= #4pixx12.96xx1.2=62.208pi# #m^3#

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Answer 2

Carson Arnold

To find the volume of a sphere in terms of π given the formula ( V = \frac{4}{3}πr^3 ) and a radius ( r = 3.6 ) m, you simply substitute the value of the radius into the formula and simplify.

Substitute ( r = 3.6 ) into the formula:

( V = \frac{4}{3}π(3.6)^3 )

( V = \frac{4}{3}π(46.656) )

( V = \frac{4}{3} \times 46.656π )

( V = 62.208π )

Therefore, the volume of the sphere is ( 62.208π ) cubic meters.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.