Question

Please answer the 3 question

Answer 1

Answer:

Check the question volume will be 448 pie

or

if question is correct it will be followed by same method

Answer 2

☆ QUESTION :

Q] Volume of cylinder is 448 π cm^3 and height is

7 cm. Find L.S.A and T.S.A.

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\therefore{\text{L.S.A=352\:{cm}}^2}}$

$\green{\therefore{\text{T.S.A=754.28\:{cm}}^2}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green {\underline \bold{Given : }} \\ :\implies \text{Volume \: of \: cylinder = }448\pi \: {cm}^{3} \\ \\ :\implies \text{Height \: of \: cylinder = 7 \: cm} \\ \\ \red {\underline \bold{To \: Find : }} \\ :\implies \text{L.S.A \: of \: cylinder = ?} \\ \\ : \implies \text{T.S.A \: of \: cylinder = ?}$

• According to given question :

$: \implies \text{Volume \: of \: cylinder = 488} \pi \: {cm}^{3} \\ \\ :\implies \pi {r}^{2} h = 488\pi \\ \\ :\implies {r}^{2} = \frac{448\pi}{\pi \times 7}$

$: \implies {r}^{2} = 64 \\ \\ : \implies r = \sqrt{64} \\ \\ \green{: \implies \text{r = 8 \: cm}} \\ \\ \text{For \: L.S.A\: of \: cylinder : } \\ \\ : \implies L.S.A \: of \: cylinder = 2\pi rh \\ \\ : \implies L.S.A = 2 \times \frac{22}{7} \times 8 \times 7 \\ \\ \green{ : \implies \text{L.S.A= 352} \: cm^{2} } \\ \\ \text{For \: T.S.A \: of \: cylinder : } \\ \\ : \implies T.S.A \: of \: cylinder = 2\pi r(h + r) \\ \\ : \implies T.S.A = 2 \times \frac{22}{7} \times 8 \times 15 \\ \\ : \implies T.S.A = 240 \times \frac{22}{7} \\ \\ \green{ : \implies \text{T.S.A = 754.28} \: {cm}^{2} }$