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

Answer:

(1) Volume of a sphere is $36 \pi\ cm^{3}$ .

(2)volume of the sphere is 11488.21 cm³ .

Step-by-step explanation:

Formula

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

Where r is the radius of the sphere .

Part First

As given the radius of the circle is 3cm .

Putting values in the formula

$Volume\ of\ a\ sphere = \frac{4\times 3\times 3\times 3}{3} \pi$

$Volume\ of\ a\ sphere = \frac{108}{3} \pi$

$Volume\ of\ a\ sphere = 36 \pi\ cm^{3}$

Therefore the volume of a sphere is $36 \pi\ cm^{3}$ .

Second Part

As given

Diameter of the sphere is 28 cm .

$Radius (r) = \frac{Diameter}{2}$

$Radius (r) = \frac{28}{2}$

$Radius (r) = 14\ cm$

$\pi = 3.14$

Putting all the values in the formula

$Volume\ of\ a\ sphere = \frac{4}{3}\times 3.14\times 14\times 14\times 14$

$Volume\ of\ a\ sphere = \frac{4\times 3.14\times 14\times 14\times 14}{3}$

$Volume\ of\ a\ sphere = \frac{34464.64}{3}$

$Volume\ of\ a\ sphere =11488.21\ cm^{3}$

Therefore the volume of the sphere is 11488.21 cm³ .