Question

How do you find the height of a cylinder whose base radius is 7.1 cm and total surface area is 1234cm

Answer 1

total surface area of cylinder =2πr(h+r)
1234 = 2 ✖ 22/7 ✖ 7.1 (h+7.1)
1234 ✖ 7/2 ✖22 ✖ 7.1=(h+7.1)
27.65=h+7.1
h=27.65-7.1
h=20.55cm
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Answer 2

Answer : 20.55 cm

Solution :
_________

Given that : Total Surface Area of cylinder = 1234 cm² and radius of base = 7.1 cm

As we know that :

total surface area of Cylinder = 2πr(r+h)

Now, according to the question :

$2 \times \frac{22}{7} \times 7.1(7.1 + h) = 1234 \\ \\ = > 7.1 + h = 27.65 \\ \\ = > h = 27.65 - 7.1 = 20.55$

So, the height will be 20.55 cm