Question

I need help please with these two questions.

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 .

Answer 2

Answer:

r = 3 cm
V = 113.097 cm3
A = 113.097 cm2
C = 18.8496 cm

r = radius
V = volume
A = surface area
C = circumference
π = pi = 3.14159
√ = square root

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Answer:

r = 14 cm
V = 11494 cm3
A = 2463.01 cm2
C = 87.9646 cm