Question
The total surface area of a cylindrical container is 3,696
cm². Its radius is 14 cm. If the height of the cylinder is expressed as (3k + 6), find the value of k². (Use π = 22/7)Solution
ATQ,
TSA = 2 × π × r × (r + h)
So, 2 × (22/7) × 14 × (14 + height) = 3,696
Or, 14 + height = 21
Or, height = 7 cm
Now, 3k + 6 = 7
Or, 3k = 1
Or, k = 1/3
Required value = (1/3)² = 1/9
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