The volume of a sphere is 5,572.45∈3 To the nearest inch, what is the radius of the sphere?

A sphere with radius rr has the following volume formula:&nbsp;V=(43)πr3Substitute&nbsp;V=5572.45∈3&nbsp;and solve for r:&nbsp;5572.45=43πr3Multiply both sides by&nbsp;34π:&nbsp;5572.45×34π=r3Take the cube root:&nbsp;3sqrt(5572.45⋅(34(3.14)))=rr∼11∈.

Explained: "The volume of a sphere is 5,572.45∈3 To..."

High School
Geometry
High school geometry
Solid Geometry

Bergen

Answered question

2021-03-09

The volume of a sphere is $5, 572.45 \in^{3}$ To the nearest inch, what is the radius of the sphere?

Answer & Explanation

Adnaan Franks

Skilled2021-03-10Added 92 answers

A sphere with radius rr has the following volume formula: $V = (\frac{4}{3}) π r^{3}$
Substitute $V = 5572.45 \in^{3}$ and solve for r: $5572.45 = \frac{4}{3} π r^{3}$
Multiply both sides by $\frac{3}{4} π$ : $5572.45 \times \frac{3}{4} π = r^{3}$
Take the cube root: $^{3} s q r t (5572.45 \cdot (\frac{3}{4} (3.14))) = r r \sim 11 \in$ .

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