Verified Answer :

apologiabiology

your mistake is that the 3rd power is not for the 15, that is just to show units
that is cubic inches
you should have done
15=(4/3)pir^3 then solved
anyway

15=4/3pir^3
45=4pir^3
11.25=pir^3
(11.25/pi)=r^3
cube root both sides
1.52992=r

answer is 1.53 in

The radius, to the nearest hundredth, of a sphere with a volume of 15 in³ is 1.53 in.

How to find the volume of a sphere?

The volume of a sphere can be found by using the formula below:

V = 4/3πr³

Find the radius as shown below:

V = 4/3πr³

⇒ 15 = 4/3πr³

⇒ 15*3 /4π = r³

⇒ 11.25/3.14 = r³

⇒ 3.583 = r³

⇒ r = 1.53 in

Therefore, we have found the radius to the nearest hundredth, of a sphere with a volume of 15 in³ as 1.53 in.

Learn more about the volume of a sphere here: https://brainly.com/question/22807400

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