Question

If a cone of radius 7cm and height 36m is cut from a cylinder of same dimensions then the volume of the remaining solid is


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Answer 1

hey buddy

i have a doubt on the radius you have stated as it is in cm so i have in metres and cm

hope it helps you.mark it as a BRAINLIST

Answer 2

$\tt\dag\green{Answer}$

$\sf\pink{Radius \: of \: cylinder \: = 7cm = 0.07}$

$\sf\red{Height \: of \: cylinder = 36m}$

$\sf\orange{Volume = πr²h}$

$\frac{22}{7} \times \frac{7}{100} \times \frac{7}{100} \times 36$

$\frac{99}{1250} \: m^{3} = 0.0792 \: m ^{3}$

$\sf\purple{Radius \: of \: cone = 7cm = 0.07m}$

$\sf\red{height = 36m}$

$\sf\pink{volume =}$ $\frac{1}{3} πr²h$

$\frac{1}{3} πr^{2}h$

$\frac{1}{3} \times \frac{22}{7} \times \frac{7}{100} \times \frac{7}{100} \times 36$

$\frac{77}{625} = 0.1232 \: m^{2}$

$\sf\green{remaining \: volume = 0.1232m³ - 0.0792}</p><p></p><p>$

$\sf\orange{ = 0.044m³}</h3><h3></h3><h3>$

$\sf\purple{cylinder}$

$\sf\pink{Radius = 7cm}$

$\sf\red{height = 36}$

$\sf\orange{Volume = πr²h}$

$\frac{22}{7} \times 7 \times 7 \times 36$

$= \: 5.54$

$\sf\purple{Cone}$

$\sf\red{Radius = 7m}$

$\sf\pink{height= 36m}$

$volume \: = \frac{1}{3} πr^{2} h \:$

$\frac{1}{3} \times \frac{22}{7} \times 7 \times 7$

$= \: 1848m ^{3}$

$\sf\green{remaining \ volume = 5544 - 1848}</h3><h3></h3><h3>$

$= \: 3696m³$