196k views
2 votes
What is the volume of this sphere? Use = 3.14 and round your answer to the nearest hundredth. cubic inches

User Summit Raj
by
8.6k points

1 Answer

3 votes

We are asked to find the volume of the given sphere.

Recall that the volume of a sphere is given by


V=(4)/(3)\cdot\pi\cdot r^3

Where π is a constant and r is the radius of the sphere.

Also, recall that the radius is half of the diameter.


r=(D)/(2)

For the given problem, the diameter of the sphere is 2 in


\begin{gathered} V=(4)/(3)\cdot\pi\cdot r^3 \\ V=(4)/(3)\cdot\pi\cdot((D)/(2))^3 \\ V=(4)/(3)\cdot3.14\cdot((2)/(2))^3 \\ V=(4)/(3)\cdot3.14\cdot(1)^3 \\ V=(4)/(3)\cdot3.14\cdot1 \\ V=4.1867 \\ V=4.19\: in^3\quad (\text{rounded to nearest hundredth)} \end{gathered}

Therefore, the volume of the given sphere is 4.19 cubic inches.

User Blvz
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories