by scooping out a hemisphere from each end of a solid cylinder.The len

1.	by scooping out a hemisphere from each end of a solid cylinder.The length of the cylinder is 20cm and radius of the base is 3.5 cm. Find the total surface area of the article.1. 945 cm22. 549 cm23. 594 cm24. 459 cm2
Answer» Correct Answer - Option 3 : 594 cm2 Given: The height of the cylinder = 20 cm Radius = 3.5 cm Formula used: Total surface area of cylinder = 2πrh Surface area of hemisphere = 2πr² Calculation: According to the question Total surface area of cylinder = curved surface area of cylinder + 2(surface area of hemisphere) ⇒ 2πrh + 2(2πr²) ⇒ 2πr(h + 2r) ⇒ 2 × 22/7 × 3.5(20 + 2 × 3.5) cm² ⇒ 2 × 22/7 × 3.5 × (20 + 7) cm² ⇒ 2 × 22/7 × 3.5 × 27 cm² ⇒ 594 cm² ∴ The total surface area of the article is 594 cm²

by scooping out a hemisphere from each end of a solid cylinder.The length of the cylinder is 20cm and radius of the base is 3.5 cm. Find the total surface area of the article.1. 945 cm22. 549 cm23. 594 cm24. 459 cm2

Answer» Correct Answer - Option 3 : 594 cm2

Given:

The height of the cylinder = 20 cm

Radius = 3.5 cm

Formula used:

Total surface area of cylinder = 2πrh

Surface area of hemisphere = 2πr²

Calculation:

According to the question

Total surface area of cylinder = curved surface area of cylinder + 2(surface area of hemisphere)

⇒ 2πrh + 2(2πr²)

⇒ 2πr(h + 2r)

⇒ 2 × 22/7 × 3.5(20 + 2 × 3.5) cm²

⇒ 2 × 22/7 × 3.5 × (20 + 7) cm²

⇒ 2 × 22/7 × 3.5 × 27 cm²

⇒ 594 cm²

∴ The total surface area of the article is 594 cm²

Discussion

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