The cost of painting of cylindrical drum which is opened at the top of

1.	The cost of painting of cylindrical drum which is opened at the top of radius 14 m at the rate of Rs 5 per m2 is Rs 8360. Find the height of the cylindrical drum.1. 12 m2. 15 m3. 18 m4. 10 m5. 16 m
Answer» Correct Answer - Option 1 : 12 m Given: The cost of painting of cylindrical drum at the rate of Rs 5 per m2 is Rs 8360. The radius of cylindrical drum which is opened at the top is 14 m. Formula Used: Curved surface area of cylinder = 2πrh where r = radius and h = height Calculation: The cost of painting of cylindrical drum at the rate of Rs 5 per m2 is Rs 8360. Then, area of the cylindrical drum which is opened at the top = 8360/5 =1672 m² Total surface area of the cylindrical drum which is opened at the top = 2πrh + πr² ⇒ 2πrh + πr2 = 1372 ⇒ 2 × 22/7 × 14 × h + 22/7 × 14 × 14 = 1672 ⇒ 88h = 1672 ⇒ h = 12 Therefore, the height of the cylindrical drum is 12 m.

The cost of painting of cylindrical drum which is opened at the top of radius 14 m at the rate of Rs 5 per m2 is Rs 8360. Find the height of the cylindrical drum.1. 12 m2. 15 m3. 18 m4. 10 m5. 16 m

Answer» Correct Answer - Option 1 : 12 m

Given:

The cost of painting of cylindrical drum at the rate of Rs 5 per m2 is Rs 8360.

The radius of cylindrical drum which is opened at the top is 14 m.

Formula Used:

Curved surface area of cylinder = 2πrh

where r = radius and h = height

Calculation:

The cost of painting of cylindrical drum at the rate of Rs 5 per m2 is Rs 8360.

Then, area of the cylindrical drum which is opened at the top = 8360/5 =1672 m²

Total surface area of the cylindrical drum which is opened at the top = 2πrh + πr²

⇒ 2πrh + πr2 = 1372

⇒ 2 × 22/7 × 14 × h + 22/7 × 14 × 14 = 1672

⇒ 88h = 1672

⇒ h = 12

Therefore, the height of the cylindrical drum is 12 m.

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