Question

The surface area of a sphere is 5544cm2, find its diameter.

Answer 1

Answer:

42.00845cm

Step-by-step explanation:

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Answer 2

Your Answer:

Given:-

• Surface Area of a Sphere is 5544cm^2

To find:-

• The diameter of Sphere.

Solution:-

To know this Question we must know

• The formula of Surface area of Sphere.
• Relation between radius and diameter.

We have formula of Surface Area of Sphere.

$\tt Surface\:\: Area\:\: of \:\:Sphere= 4\pi r^2$

So,

$\tt 5544cm^2= 4\pi r^2 \\\\ \tt \Rightarrow 5544=4\times\dfrac{22}{7}\times r^2 \\\\ \tt \Rightarrow r^2=\dfrac{5544\times 7}{22\times 4} \\\\ \tt \Rightarrow r^2=\dfrac{38808}{88} \\\\ \tt \Rightarrow r^2=441 \\\\ \tt \Rightarrow r = \sqrt{441} \\\\ \tt \Rightarrow r=21$

So, we have radius now.

So we have to know the relation between diameter and radius

$\tt 2Radius= Diameter$

finding diameter

$\tt d=2r \\\\ \tt \Rightarrow d=2(21)\\\\ \tt \Rightarrow d=42$

So, diameter is 42cm.