Question

I need help please with these two questions.

1. What is the volume of this sphere? (First Picture)




8π cm³

16π cm³

27π cm³

36π cm³

2. What is the volume of this sphere? (Second Picture)

Use 3.14 for pi and round to the nearest hundredth when necessary.




615.44 cm³

2461.76 cm³

11,488.21 cm³

91,905.71 cm³

Answer 1

(1) Volume of a sphere is
`36 \pi\ cm^(3)` .

(2)volume of the sphere is 11488.21 cm³ .

Explanation:

Formula

`Volume\ of\ a\ sphere = (4)/(3) \pi r^(3)`

Where r is the radius of the sphere .

Part First

As given the radius of the circle is 3cm .

Putting values in the formula

`Volume\ of\ a\ sphere = (4* 3* 3* 3)/(3) \pi`

`Volume\ of\ a\ sphere = (108)/(3) \pi`

`Volume\ of\ a\ sphere = 36 \pi\ cm^(3)`

Therefore the volume of a sphere is
`36 \pi\ cm^(3)` .

Second Part

As given

Diameter of the sphere is 28 cm .

`Radius (r) = (Diameter)/(2)`

`Radius (r) = (28)/(2)`

`Radius (r) = 14\ cm`

`\pi = 3.14`

Putting all the values in the formula

`Volume\ of\ a\ sphere = (4)/(3)* 3.14* 14* 14* 14`

`Volume\ of\ a\ sphere = (4* 3.14* 14* 14* 14)/(3)`

`Volume\ of\ a\ sphere = (34464.64)/(3)`

`Volume\ of\ a\ sphere =11488.21\ cm^(3)`

Therefore the volume of the sphere is 11488.21 cm³ .