The volume of a metallic sphere is 38808 cm3. What is the surface area

1.	The volume of a metallic sphere is 38808 cm3. What is the surface area of the sphere?1. 5580 cm22. 5544 cm23. 5044 cm24. 5504 cm2
Answer» Correct Answer - Option 2 : 5544 cm² Given: Volume of sphere = 38808 cm³ Concept: First calculate the radius of the sphere then proceed to find the surface area. Formula used: Volume of sphere = (4/3)πR³ Surface area of sphere = 4πR² Calculation: Volume of sphere = (4/3)πR³ ⇒ 38808 = (4/3) πR³ ⇒ 38808 = (4 × 22 × R³)/21 ⇒ (38808 × 21)/88 = R³ ⇒ R = 21 cm Surface area of sphere = 4πR² ⇒ 4 × (22/7) × 21 × 21 ⇒ 5544 cm² ∴ The surface area of the sphere is 5544 cm2.

The volume of a metallic sphere is 38808 cm3. What is the surface area of the sphere?1. 5580 cm22. 5544 cm23. 5044 cm24. 5504 cm2

Answer» Correct Answer - Option 2 : 5544 cm²

Given:

Volume of sphere = 38808 cm³

Concept:

First calculate the radius of the sphere then proceed to find the surface area.

Formula used:

Volume of sphere = (4/3)πR³

Surface area of sphere = 4πR²

Calculation:

Volume of sphere = (4/3)πR³

⇒ 38808 = (4/3) πR³

⇒ 38808 = (4 × 22 × R³)/21

⇒ (38808 × 21)/88 = R³

⇒ R = 21 cm

Surface area of sphere = 4πR²

⇒ 4 × (22/7) × 21 × 21

⇒ 5544 cm²

∴ The surface area of the sphere is 5544 cm2.

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The volume of a metallic sphere is 38808 cm3. What is the surface area of the sphere?1. 5580 cm22. 5544 cm23. 5044 cm24. 5504 cm2

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