Question

the volume of a cylinder is 150 pi cubic cm and its height is 6 cm find the areas of total surface and lateral surface

Answer 1

hope it help's you!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 2

Answer:

T.S.A = 345.4 cm^2 , L.S.A = 188.4 cm^2

Step-by-step explanation:

Given that :

$\sf Volume = 150 \pi {cm}^{3}$

$\implies \sf \: \pi {r}^{2} h = 150\pi$

Cancel π from π

$\implies \sf \: \pi {r}^{2} \times 6 = 150 \pi$

$\implies \sf \: {r}^{2} \times 6 = 150$

$\implies \sf {r}^{2} = 25$

$\implies \sf \: r = \sqrt{25}$

$\implies \sf \: r = 5 \: cm$

$\textbf{\underline{\underline{To\: find\:T.S.A:}}}$

$T.S.A = 2 \: \pi \: r(r + h)$

$\implies2 \times \dfrac{22}{7} \times 5(5 + 6)$

$\implies2 \times \dfrac{22}{7} \times 5 \times 11$

$\implies \dfrac{2420}{7}$

$\huge{\boxed{\tt{345.7cm^2}}}$

$\textbf{\underline{\underline{To\: find\:L.S.A:}}}$

$L.S.A \: = 2\pi \: rh$

$\implies 2 \times \dfrac{22}{7} \times 5 \times 6$

$\implies \dfrac{1320}{7}$

$\huge{\boxed{\tt{188.5 cm^2}}}$