Question

the volume of a sphere is 4851cm3 its diameter is explain its and write ​

Answer 1

Step-by-step explanation:

Volume of sphere=

$\frac{4}{3} \pi {r}^{3}$

where r is radius of sphere.

Now given volume is 4851cm3

${r}^{3} = 4851 \times \frac{3}{4} \times \frac{7}{22}$

Using

$\pi = \frac{22}{7}$

will make calculation easier

from here r came out as 10.5cm

we know that diameter=2(radius)

Hence diameter will be 21cm

Answer 2

★ Required Solution:

The diameter of the sphere is 21 cm

Volume of sphere = 4851 cubic cm

Find the diameter of the sphere

The formula for volume of sphere = 4

3 πr³ cubic units

where it has the constant value of 3.14, and 'r' is the radius of the sphere

4851 = 4

3 x 3.14 × r³ cubic units

r³ = 4851 × 3

4 × 3.14 cubic units

r³ = 14553

12.56 cubic units

r³ = 1158.67 cm³

r = ³√1158.67 cm

r = 10.50 cm

Radius of the sphere = 10.50 cm

Diameter of the sphere = 2 x Radius of the sphere

Diameter of the sphere = 2 x 10.50

Diameter of the sphere = 21 cm

Therefore, the diameter of the sphere with volume 4851 cubic centimeter is 21 cm.