Question

find the circumference of the sphere whose volume is 1375/21cm sq​

Answer 1

Answer:

Volume=4/3πr^3=1375 / 21

r^3=3V/4π = 3x1375x7 /2 Ix4x22

r^3=15.625

r = 2.5cm

Circumference=2πr=2x22x2.5/7

= 15.7 cm

Answer 2

The circumference of the sphere is 15.7cm

Step-by-step explanation:

Given:

Volume of sphere= 1375/21 cubic cm

To find:

circumference of sphere

Solution:

We use the formula for the volume of a sphere

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

In the above example, the volume is given as 1375/21

∴ $\frac{1375}{21} =$ $\frac{4}{3} \pi r^3$

∴ $\frac{1375 \ X\ 3}{21 \ X 4} =$ $\pi r^3$

∴ $\frac{4125}{84}= \pi r^3$

Let's use π=3.14

$\frac{4125}{84 \ X \ 3.14 }=r^3$

$\frac{4125}{263.76 }=r^3$

∴ $r^3= 15.63$

∴ $r=\sqrt[3]{15.63}$

∴ $r= 2.5$ cm

Circumference of sphere= 2πr

Circumference of sphere= 2 X 3.14 X 2.5

Circumference of sphere= 2 x 7.85

Circumference of sphere= 15.7 cm

Thus, the circumference of the sphere will be 15.7cm

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