Math, asked by external28, 2 months ago

Find the height of a cylinder whose radius is 7 cm and the total surface area is 968 sq.cm ?

Answers

Answered by shivam2258
0

Answer:

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Answered by Anonymous
2

Answer:

the height of the cylinder is 15 cm.

Step-by-step explanation:

Let the height of the cylinder be h cm.

it is given that

r = Radius of the cylinder = 7 cm

We have,

Total surface area = 968 sq.cm

⟹  \: 2πr \: (h + r) \:  = 986 \: sq.cm \\  \\  ⟹  \: 2 \times  \frac{22}{7}  \times 7 \times (h + 7)  =  \:986 \\  \\   ⟹ \: 44  \: \times (h + 7) \:  = 986 \\  \\   ⟹  \: h + 7 =  \frac{986}{44}  \\  \\   ⟹  \: h + 7 = 22 \\  \\   ⟹  \: h = 15

Hence, the height of the cylinder is 15 cm.

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