Question

total surface area of a cylinder is 7480 cm’ and its radius is 14 cm. Find its height.​

Answer 1

Answer:

h=71cm.

Step-by-step explanation:

TSA of cylinder =2πr(h+r)

7480 =2*22/7*14(h+14)

7480 =88(h+14)

7480=88h+1232

7480-1232=88h

6248=88h

h=6248/88

h=71cm .

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Answer 2

ANSWER :-

The height of the cylinder is 71 cm.

EXPLANATION :-

Given :-

• TSA = 7480 ${cm}^{2}$
• Radius (r) = 14 cm
• Height (h) = ?

Now,

$</strong><strong>TSA</strong><strong> = 2\pi r(h + r) \\ = > 7480 = 2 \times \frac{22}{7} \times 14(h + 14) \\ = > 7480 = 88(h + 14) \\ = > 7480 = 88h + 1232 \\ = > 7480 - 1232 = 88h \\ = > 6248 = 88h \\ = > h = \frac{6248}{88} \\ = > h = 71 \: cm$

•°• The height of the cylinder will be 71 cm.

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