Question

find the volume of a sphere of radius 11.2cm​

Answer 1

Answer:

radius = 11.2 cm

Volume of sphere = 4/3 πr3

= 4/3 × 22/7 × (11.2)3

= 88/21 × 1,404.928

= 123,633.66/21

= 5,887.31 cm3 Ans.

Step-by-step explanation:

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Answer 2

The volume of a sphere with a radius of 11.2cm is $0.5882 \times {10}^{ - 2} {m}^{3}$.

Given:

A sphere of radius 11.2cm.

To Find:

The volume of a sphere with a radius is 11.2cm.

Solution:

To find the volume of a sphere of radius 11.2cm we will follow the following steps:

As we know,

The formula for finding the Volume of the sphere =

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

Here, r is the radius

According to the question:

r = 11.2 cm

And,

π = 3.14

Now,

Putting values in the above formula we get,

$v = \frac{4}{3} \times 3.14 \times {11.2}^{3}$

$v = \frac{4}{3} \times 3.14 \times 1404.9$

$v = \frac{4}{3} \times 4411.386$

$v = 5881.8 {cm}^{3}$

Also,

1 m = 100cm

$1 {cm}^{3} = \frac{1 {cm}^{3} \times 1 {m}^{3} }{100 \times 100 \times 100 {cm}^{3} } = {10}^{ - 6} {m}^{3}$

$v = 5881.8 \times {10}^{ - 6} {m}^{3} = 0.5882 \times {10}^{ - 2} {m}^{3}$

Henceforth, the volume of a sphere with a radius of 11.2cm is $0.5882 \times {10}^{ - 2} {m}^{3}$.

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