Question

find the area
of sphere with diameter 10 cm.​

Answer 1

Answer:

56.89 cm ^2 is the are of the sphere

Answer 2

• The area of the sphere = 314.29 cm².

Given :

• The diameter of the sphere = 10 cm.

To Find :

• The area of the sphere.

Solution :

We have to find the area of the sphere.

We know that,

Area of sphere = 4πr²

First, we have to find the the radius of the sphere by using the given value of diameter.

Given,

Diameter of the sphere = 10 cm

We know that,

$\boxed{ \orange{ \bf{r = \frac{d}{2} }}}$

Where,

• r = radius.
• D = diameter.

$: \implies \bf{r = \dfrac{ \not{10}}{ \not{2}} \: cm} \\ \\ : \implies \bf{r = 5 \: cm} \\ \\ \: \: \: \bf \therefore \: \: r = 5 \: cm$

Now, substitute all the values in the formula of area of the sphere.

$: \implies \bf{4 \times \dfrac{22}{7} \times {(5 \: cm)}^{2} } \\ \\ \\ : \implies \bf{4 \times \dfrac{22}{7} \times 5 \times 5 \: {cm}^{2} } \\ \\ \\ : \implies \bf{4 \times \dfrac{22}{7} \times 25 \: {cm}^{2} } \\ \\ \\ : \implies \bf{ \dfrac{4}{1} \times \dfrac{22}{7} \times \dfrac{25}{1} \: {cm}^{2} } \\ \\ \\ : \implies \bf{ \dfrac{4 \times 22 \times 25}{7} \: {cm}^{2} } \\ \\ \\ : \implies \bf{ \dfrac{2200}{7} \: {cm}^{2} } \\ \\ \\ : \implies \bf{314.29} \qquad \: \: \: \: (approx.)$

Hence,

The area of the sphere is 314.29 cm².