Question

The surface area of a sphere is 440cm2. What will be its diameter?
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Answer 1

Answer:

surface area of sphere= 4πr²

4πr²=440

πr²=110

r²=35

r=√35

diameter=2r = 2√35 = 12(approx)

Answer 2

Given :

• Surface Area of Sphere = 440 cm²

To Find :

• Diameter of Sphere.

Solution :

Firstly we will find Radius :

Using Formula :

$\longmapsto\tt\boxed{Surface\:Area\:of\:Sphere=4\pi{{r}^{2}}}$

Putting Values :

$\longmapsto\tt{440=4\times\dfrac{22}{7}\times{{r}^{2}}}$

$\longmapsto\tt{440\times{7}=88\times{{r}^{2}}}$

$\longmapsto\tt{3080=88{r}^{2}}$

$\longmapsto\tt{\cancel\dfrac{3080}{88}={r}^{2}}$

$\longmapsto\tt{r=\sqrt{35}}$

$\longmapsto\tt\bf{r=5.9cm}$

Radius of Sphere is 5.9cm..

Now ,

As we know that Diameter is double of Radius .So ,

$\longmapsto\tt{Diameter=2(r)}$

$\longmapsto\tt{2(5.9)}$

$\longmapsto\tt\bf{11.8cm}$

So , The Diameter of the Sphere is 11.8 cm..

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• Surface Area of Sphere = 4πr²
• Volume of Sphere = 4/3 πr³
• C.S.A of Hemisphere = 2πr²
• T.S.A of Hemisphere = 3πr²
• Volume of Hemisphere = 2/3 πr³

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