Question

if the lateral surface area of cylinder is 94.2 CM square and its height is 5 cm then find its volume ​

Answer 1

Answer:

141.23 cm cube

Step-by-step explanation:

Hope it helps you!

Answer 2

Answer :

• Volume is 141.42 cm³

Explanation :

• C.S.A of Cylinder = 94.2 cm²
• Height of cylinder = 5 cm

Use formula for C.S.A of Cylinder

$\longrightarrow \sf{C.S.A \: = \: 2 \pi rh} \\ \\ \longrightarrow \sf{94.2 \: = \: 2 \: \times \: \dfrac{22}{7} \: \times \: 5 \: \times \: r} \\ \\ \longrightarrow \sf{r \: = \: \dfrac{94.2 \: \times \: 7}{22 \: \times \: 10}} \\ \\ \longrightarrow \sf{r \: = \: \dfrac{659.4}{220}} \\ \\ \longrightarrow \sf{r \: = \: 2.99} \\ \\ \underline{\underline{\sf{Radius \: is \: 3 \: cm \: (approx) }}}$

$\rule{150}{0.5}$

Now, use formula for volume :

$\longrightarrow \sf{Volume \: = \: \pi r^2 h} \\ \\ \longrightarrow \sf{Volume \: = \: \dfrac{22}{7} \: \times \: 3^2 \: \times \: 5} \\ \\ \longrightarrow \sf{Volume \: = \: \dfrac{22 \: \times \: 9 \: \times \: 5}{7}} \\ \\ \longrightarrow \sf{Volume \: = \: \dfrac{990}{7}} \\ \\ \longrightarrow \sf{Volume \: = \: 141.42} \\ \\ \underline{\underline{\sf{Volume \: is \: 141.42 \: cm^3}}}$