Question

2. Find the height of a solid right circular cylinder, whose total surface area is equal to 314 cm' and
the diameter of the base is 8 cm. (Use pier = 3.14 )
$the \: answer \: of \: this \: question \: is \: 49 \: upon \: 22$
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Answer 1

solution

base diameter(d)=8cm

base radius(r)=4cm

let ,height=h cm

now ...total surface area of a right circular cone of base radius "r" and height "h" is...

=2πr(r+h)

Now according to the Question...

$2 \times 3.14 \times 4(4 + h) = 314 \\ = > h = \frac{314}{2 \times 3.14 \times 4} - 4 \\ = > h = \frac{25}{2} - 4 \\ = > h = \frac{25 - 8}{2} \\ = > h = \frac{17}{2} \: \: cm$

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