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

Maharashtra BoardEnglish MediumSTD 8MathsVolume and Surface Area of Solids4 Marks
Question
Find the volume, curved surface area and total surface area of the cylinders whose dimensions are:
Radius of the base = 5.6m and height = 1.25m.
✓

Answer

Radius of the base of the cylunder (r),
= 5.6m
Height (h) = 1.25m
  1. $\therefore$ Volume $=\pi\text{r}^2\text{h}$
$=\frac{22}{7}\times(5.6)^2\times1.25\text{cm}^3$

$=\frac{22}{7}\times5.6\times5.6\times1.25\text{m}^3=123.2\text{m}^3$
  1. Lateral surface area $=2\pi\text{rh}$
$=2\times\frac{22}{7}\times5.6\times1.25\text{m}^2=44\text{m}^2$
  1. Total surface area $=2\pi\text{r}(\text{h}+\text{r})$
$=2\times\frac{22}{7}\times5.6(1.25+5.6)$

$=44\times0.8(6.85)\text{m}^2=241.12\text{m}^2$

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