The area of base of a cylinder is 25π cm2. If the height of cylinder

1.	The area of base of a cylinder is 25π cm2. If the height of cylinder is 9 cm, then find the total surface area of cylinder.1. 440 cm22. 240 cm23. 420 cm24. 220 cm2
Answer» Correct Answer - Option 1 : 440 cm² Given: Area of base of a cylinder = 25π cm2 Height of cylinder = 9 cm Formula Used: Area of circle = πr² Total surface area of cylinder = 2πr(r + h) Calculations: Let the radius of cylinder be r cm. Area of base of a cylinder = 25π cm2 ⇒ πr2 = 25π cm2 ⇒ r = 5 cm Now, Total surface area of cylinder = 2πr(r + h) ⇒ Total surface area of cylinder = 2 × (22/7) × 5 × (5 + 9) ⇒ Total surface area of cylinder = 440 cm² ∴ The total surface area of cylinder is 440 cm2.

The area of base of a cylinder is 25π cm2. If the height of cylinder is 9 cm, then find the total surface area of cylinder.1. 440 cm22. 240 cm23. 420 cm24. 220 cm2

Answer» Correct Answer - Option 1 : 440 cm²

Given:

Area of base of a cylinder = 25π cm2

Height of cylinder = 9 cm

Formula Used:

Area of circle = πr²

Total surface area of cylinder = 2πr(r + h)

Calculations:

Let the radius of cylinder be r cm.

Area of base of a cylinder = 25π cm2

⇒ πr2 = 25π cm2

⇒ r = 5 cm

Now, Total surface area of cylinder = 2πr(r + h)

⇒ Total surface area of cylinder = 2 × (22/7) × 5 × (5 + 9)

⇒ Total surface area of cylinder = 440 cm²

∴ The total surface area of cylinder is 440 cm2.

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