Question

Find the height of a Cylinder whose radius is 7cm and total surface area is 96cm^2.... give me a answer plzz​

Answer 1

$\blue{\huge{\underline{\underline{Answer:-}}}}$

Given:

For cylinder,

Radius = 7 CM

Total surface area of cylinder = 96 cm²

To find:

Height of cylinder = ?

Method:

$\: total \: surface \: area \: of \: cylinder \\ = 2\pi \: r {}^{2} + 2\pi \: rh$

$\\ 96 = 2 \times \dfrac{22}{7} \times (7) {}^{2} + 2 \times \dfrac{22}{7} \\ \times 7 \times h \\ \\ 96 = 308 + 44h \\ \\ 308 - 96 = - 44h \\ \\ 212 = - 44h$

$\\ \dfrac{212}{ - 44} = h \\ \\ - 4.82 = \: h \\ \\ \: \: height \: of \: cylinder \: is \: - 4.82 \: cm$

Required answer:

Therefore, height of cylinder is -4.82 cm

Extra points:

We can arrange the total surface area (TSA)

$\\ TSA \: = 2\pi \: r(r + h)$

formula of cylinder as above