Question

Find the volume of a sphere with a diameter of 22m. Round to the nearest tenth.

Answer 1

Hey there! :)

The formula for finding volume of a sphere is: 4/3 · π · r³

Diameter = 2x radius
Radius = ½ diameter

22 ÷ 2 = 11

Radius = 11

11³ = 11 × 11 × 11 = 1331

1331 × 4/3 = 5324/3 = 1774 2/3

1774 2/3 × π = 5575.3

The volume of the sphere is 5,575.3 m³

Hope this helps :)

(By the way, I used pi instead of 3.14 )

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If you use 3.14, the volume is 5572.5 m³

Answer 2

$\text{The formula of the volume of a sphere:}\\\\V=\dfrac{4}{3}\pi r^3$

$\text{We have:}\\2r=22m\to r=11m$

$\text{substitute}\\\\V=\dfrac{4}{3}\pi\cdot11^3=\dfrac{4}{3}\pi\cdot1331=\dfrac{5324}{3}\pi\approx5572.5\ m^3$