1 Answer

MHarris · Answer 1 · 2023-10-25T02:25:29+0000

Find the volume of a sphere with a diameter of 16 cm using the formula Volume =
(4)/(3) × π × r³.

In this question we are provided with the diameter of a sphere. We are asked to calculate the volume of the sphere using the radius.

First we will find the radius of the sphere

We know,

$✭ \: \small\boxed{ \rm{ Radius = (Diameter)/(2)}}$

Substituting the values we get

$\small\sf{ Radius = \frac{ \cancel{16} \: \: 8}{ \cancel{2}}}$

$\star \: \small\rm{ Radius = 8 \: cm}$

Now we will calculate the volume of the sphere

We know,

$✭ \: \small \boxed{{\rm{ Volume_((sphere)) = (4)/(3) × π × r³}}}$

Where,

Substituting the values we get

$\small\rm{ Volume_((sphere)) = (4)/(3) × 3.14 × 8³}$

$\small\rm{ Volume_((sphere)) = \frac{ \cancel{4}}{3} × 3.14 × 8 * 8 * \cancel{ 8 } \: \: 2}$

$\small\rm {V olume_((sphere)) = (3.14 × 64)/(3)}$

$\small\rm{ Volume_((sphere)) = (200.96)/(3) =66.98 \: {cm}^(3) }$

Hence the volume of the sphere is 66.98 cm³.

$\underline{\rule{71mm}{4pt}}$

Your comment on this question: