Question

if the total surface area of a sphere is 5544cm square find the diameter of the sphere

Answer 1

Surface area=4πr²
5544cm²=4πr²
5544=4×22/7×r²
5544×7/88=r²
441=r²
21cm=r


d=2r
d=2×21
d=42cm

Answer 2

Answer:

• Diameter of sphere is 42 cm.

Step-by-step explanation:

Given:

• Total surface area of sphere = 5544 cm²

To Find:

• Diameter of sphere.

Now, we know that,

⇒ Total surface area of sphere = 4πr²

⇒ 5544 = 4 × 22/7 × r²

⇒ 5544 × 7 = 88 × r²

⇒ 38808 = 88 × r²

⇒ r² = 38808/88

⇒ r² = 441

⇒ r = √441

⇒ r = 21 cm

Now, we know that

⇒ Diameter = 2 × radius

⇒ Diameter = 2 × 21

⇒ Diameter = 42 cm

Hence, Diameter of sphere is 42 cm.