Answered

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What is the diameter of a sphere with a volume of 332\text{ cm}^3,332 cm 3 , to the nearest tenth of a centimeter?

Sagot :

MrRoyal

Answer:

The diameter is 8.6cm

Step-by-step explanation:

Given

Shape: Sphere

[tex]Volume = 332cm^3[/tex]

Required

Determine the diameter of the sphere

First, calculate the radius using:

[tex]Volume = \frac{4}{3} \pi r^3[/tex]

Substitute: [tex]Volume = 332cm^3[/tex]

[tex]332= \frac{4}{3} \pi r^3\\[/tex]

Solve for r

[tex]r^3 = \frac{332 * 3}{4 * \pi}[/tex]

[tex]r^3 = \frac{996}{4 * \pi}[/tex]

[tex]r^3 = \frac{249}{\pi}[/tex]

[tex]r^3 = \frac{249}{3.142}[/tex]

[tex]r^3 = 79.25[/tex]

Take cube roots

[tex]r = \sqrt[3]{79.25}[/tex]

[tex]r = 4.3[/tex]

Diameter (D) is calculated as:

[tex]D = 2r[/tex]

[tex]D = 2 * 4.3[/tex]

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