Question
The surface area of a right circular cylinder is 3,696
cm² and its radius is 14 cm. If the height of the cylinder is described as (k + 10), what is the value of k²? (Use π = 22/7)Solution
ATQ,
Total surface area = 2 × π × r × (r + h)
⇒ 2 × (22/7) × 14 × (14 + height) = 3,696
⇒ 14 + height = 33
⇒ height = 19 cm
Now, k + 10 = 19
⇒ k = 9
Required value = 9² = 81
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