Question

The volume of a cylinder is 308cmcube. Its height is 8cm.Find its lateral surface area and total surface area.​

Answer 1

Answer:

radius = 3.5cm

lsa = 176 sqcm

tsa = 253 sqcm

Step-by-step explanation:

volume of cylinder = πr^2h = 308

$\frac{22}{7} \times {r}^{2} \times 8 = 308 \\ {r}^{2} = \frac{308 \times 7}{22 \times 8} \\ {r}^{2} = \frac{14 \times 7}{8} = \frac{98}{8} = 12.25 \\ r = \sqrt{12.25} = 3.5$

lateral surface area of cylinder = 2πrh

$= 2 \times \frac{22}{7} \times 3.5 \times 8 \\ = 22 \times 8 \\ = 176 {cm}^{2}$

total surface area of cylinder = 2πr(h+r)

$= 2 \times \frac{22}{7} \times 3.5(3.5 + 8) \\ = 22 \times 11.5 \\ = 253 {cm}^{2}$

hope you get your answer