what is the volume of this sphere? round your answer to the nearest hundredth. (image of a sphere with…
what is the volume of this sphere? round your answer to the nearest hundredth. (image of a sphere with radius 1 in)
Answer
Explanation:
Step1: Recall the formula for the volume of a sphere
The formula for the volume ( V ) of a sphere with radius ( r ) is ( V=\frac{4}{3}\pi r^{3} ).
Step2: Identify the radius of the sphere
From the diagram, the radius ( r = 1 ) inch.
Step3: Substitute the radius into the formula
Substitute ( r = 1 ) into the formula: ( V=\frac{4}{3}\pi(1)^{3}=\frac{4}{3}\pi ).
Step4: Calculate the numerical value
Using ( \pi\approx3.14159 ), we have ( V=\frac{4}{3}\times3.14159\approx4.18879 ).
Step5: Round to the nearest hundredth
Rounding ( 4.18879 ) to the nearest hundredth gives ( 4.19 ).
Answer:
( 4.19 ) cubic inches