The volume of a solid 2 pointscylinder is 448Tt cms andit's height is

1.	The volume of a solid 2 pointscylinder is 448Tt cms andit's height is 7cm find itslateral surface area (chठोस बेलन का आयतन 448T1cm है व ऊँचाई 7cm है तोउसका वक्र पृष्ठीय क्षेत्रफल ज्ञात
Answer» For a SOLID cylinder - Given :- $\sf{Volume \: (V) = 448\pi \: cm^{3}}$ $\sf{height \: (h) = 7 \: cm}$ To FIND :- $\sf{Lateral \: Surface \: Area \: of \: this \: solid \: cylinder = ?}$ Using FORMULAS :- $\sf{Volume \: of \: Solid \: Cylinder = \pi r^{2} h}$ $\sf{Lateral \: Surface \: Area = 2\pi r h}$ Solution :- $\sf{Volume \: of \: Solid \: Cylinder = 448\pi}$ $\sf{\pi r^{2} h = 448\pi}$ $\sf{r^{2} h = 448}$ $\sf{r^{2}(7) = 448}$ $\sf{7r^{2} = 448}$ $\sf{r^{2} = 64}$ $\sf{r=\sqrt{64}}$ $\sf{r = 8 \: cm}$ Now , $\sf{Lateral \: Surface \: Area \: of \: Solid \: Cylinder -}$ $\sf{2\pi r h}$ $\sf{2\times \frac{22}{7}\times 8\times 7}$ $\sf{2\times 22\times 8}$ $\sf{2\times 176}$ $\sf{352 \: cm^{2}}$ RESULT :- $\sf{Lateral \: Surface \: Area \: of \: this \: Solid \: Cylinder \: is \: 352 \: cm^{2}.}$