Question

The height of a cylinder whose radius is 7 cm and the total surface area is 968
{cm}^{2}cm
2

is:

a•} 15 cm
b•} 17 cm
c•} 19 cm
d•} 21 cm

[Please Solve the question and then answer!!!]
[No Spam Allowed]​​

Answer 1

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Answer 2

Given

• Radius of a cylinder (r) = 7cm
• Total surface area of the cylinder = 968cm²

To find

• Height of the cylinder (h).

Solution

$\sf\pink{⟶}$ We have given the total surface area of the cylinder with its radius = 7cm.

$\sf\pink{⟶}$ Let the height of the cylinder be h.

⠀

• Using the formula

$\underline{\boxed{\tt{T.S.A\: of\: a\: cylinder = 2πr(h + r)}}}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {T.S.A = 2 \times \dfrac{22}{\cancel{7}} \times\cancel{7}(h + 7)}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {968 = 44 \times (h + 7)}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {968 = 44h + 308}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {968 - 308 = 44h}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {660 = 44h}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {h = \dfrac{660}{44}}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {\underline{\boxed{\orange{h = 15cm}}}}$

⠀

$\sf\pink{⟶}$ Height of the cylinder is 15cm.

Hence, option (A) is correct.

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