Question

The surface area of a sphere is 5544 cm2

. The diameter of the

sphere is ___________.​

Answer 1

Answer :

• Diameter of the sphere is 42cm

Given :

• The surface area of sphere is 5544 cm²

To find :

• The diameter of the sphere

Solution :

Given ,

• surface area of sphere is 5544 cm²

we need to find the radius

As we know that ,

• Surface area of sphere = 4πr²

》 4πr² = 5544

》4 × 22/7 × r² = 5544

》r² = 5544×7/4 × 22

》r² = 5544× 7/88

》r² = 38808/88

》r² = 441

》r = √21 × 21

》r = √(21)²

》r = 21

Hence , Radius is 21cm

Now we have to find the Diameter of sphere,

As we know that,

• Diameter = 2(r)

where r is radius 21cm

》2(21)

》 42cm

Hence, Diameter of the sphere is 42cm

Answer 2

$\Huge\sf\mathbb\color{Yellow}\underline{\colorbox{pink}{✨Question✨}}✨✨$

• The surface area of a sphere is 5544 cm2. Find its diameter.

$\huge \underbrace \bold\blue {↓Solution↓}$

Given:-

➪ Surface area of the sphere = 5544 cm2

To find:-

➪ The diameter of the sphere.

¤ We know that,

➪ Surface area of a sphere = 4πr^2

$➪ 5544 \: {cm}^{2} = 4πr^2\\ ➪ {r}^{2} = \frac{5544 \: {cm}^{2} \times 7 }{4 \times 22} \\ ➪{r}^{2} = 441 \: {cm}^{2} \\ ➪ r = \sqrt{441 {cm}^{2} } \\ ➪ r = \sqrt{21 \: cm \times 21 \: cm} \\ ➪ r = \sqrt{(21 {cm})^{2} } \\ ➪r = 21 \: cm$

So,

$Diameter \: of \: the \: sphere = 2r \\ =2 \times 21 cm \\ = 42 \: cm$

Hence, the diameter of the sphere is 42 cm.

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