Question

the total surface area of a sphere is 5544 cm square. find its diameter and volume.

Answer 1

Answer:

4 $\\\pi r^{2}$ = 5544

or 4*$r^{2}$ = 252 * 7

or $r^{2}$ = 63 * 7

or r = 21 cm.

diameter =  2r = 42 cm.

Step-by-step explanation:

Answer 2

Question

the total surface area of a sphere is 5544 cm square. find its diameter and volume.

Solution

Given :-

• Surface area of sphere = 5,544 cm²

Find :-

• Diameter & Volume of Sphere

Explanation

Using Formula

★ Surface Area of Sphere = 4πr²

So,

➠ Surface Area of Sphere = 4πr²

➠ 5544 = 4 * 22/7 * r²

➠ r² = 5544 * 7 /(22 * 4)

➠ r² = 252 * 7/4

➠ r² = 63 * 7

➠ r² = 441

➠ r = √441

➠ r = √(21 * 21)

➠ r = 21 cm

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Now, Calculate Volume of Sphere

Formula

★ Volume of Sphere = (4/3) * πr³

Keep Value of r

➠ Volume of Sphere = (4/3) * 22/7 * 21³

➠ Volume of Sphere = 4/3 * 22/7 * 21 * 21 *21

➠ Volume of Sphere = 4 *22* 3 * 7 * 21

➠ Volume of Sphere = 22 * 21 * 21 * 4

➠ Volume of Sphere = 38,808 cm³

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And , Diameter will be

• Diameter = 2 * Radius (r)

==> Diameter = 2 * 21 = 42 cm

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