Question

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?

Answer 1

Answer:

The diameter is 8.6cm

Step-by-step explanation:

Given

Shape: Sphere

$Volume = 332cm^3$

Required

Determine the diameter of the sphere

First, calculate the radius using:

$Volume = \frac{4}{3} \pi r^3$

Substitute: $Volume = 332cm^3$

$332= \frac{4}{3} \pi r^3$

Solve for r

$r^3 = \frac{332 * 3}{4 * \pi}$

$r^3 = \frac{996}{4 * \pi}$

$r^3 = \frac{249}{\pi}$

$r^3 = \frac{249}{3.142}$

$r^3 = 79.25$

Take cube roots

$r = \sqrt[3]{79.25}$

$r = 4.3$

Diameter (D) is calculated as:

$D = 2r$

$D = 2 * 4.3$