The heighth of the cylinder if the surface area is 942 square feet is 25 feet.
From the information given, the S = 2π(25) + 2π(5h). We are to find the heighth of the cylinder if the surface area is 942 square feet.
This will be:
S = 2π(25) + 2π(5h).
2π(25) + 2π(5h) = 942
50π + 10πh = 942
(50 × 3.14) + (10 × 3.14 × h) = 942
157 + 31.4h = 942
Collect like terms
31.4h = 942 - 157
31.4h = 785
h = 785/31.4
h = 25
The height of the cylinder is 25 feet
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