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Volume and Surface Area of Solids — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSVolume and Surface Area of Solids5 Marks
Question
Find the volume, curved surface area and total surface area of the cylinders whose dimensions are: Radius of the base $= 14\ dm$ and height $= 15\ m$
✓

Answer

Radius of the base of a cylinder $(r), = 14\ dm = 1.4\ m$. Height $(h) = 15\ m$
$a.$ Volume:
$=\pi\text{r}^2\text{h}=\frac{22}{7}\times(1.4)^2\times15\text{m}^3$
$=\frac{22}{7}\times1.4\times1.4\times15\text{m}^3=92.4\text{m}^3$
$b.$ Lateral surface area $=2\pi\text{rh}$
$=2\times\frac{22}{7}\times1.4\times15\text{m}^2=132\text{m}^2$
$c.$ Total surface area $=2\pi\text{r}(\text{h}+\text{r})$
$=2\times\frac{22}{7}\times1.4\times15\text{m}^2=132\text{m}^2$
$=8.8(16.4)\text{m}^2=144.32\text{m}^2$

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