Question

A cylinder tank has a capcity of 6160m3find its depth if it's radius is 14m also find the cost of painting it's curved surface at30per m

Answer 1

capacity of cylinder= 6160m
radius= 14m
curved surface area of cylinder= 2πrh
2*22/7*14*h = 6160m^3
44*2h = 6160m^3
88h = 6160m^3
h= 6160/88
= 70m

ans. = 70m depth

Answer 2

Volume of the tank is
$\pi {r}^{2} h = 6160 {m}^{3}$
where h is the depth and r is the radius
$h = \frac{6160}{\pi {r}^{2} } \\ = \frac{6160 \times 7}{22 \times 14 \times 14} \\ = 10m$
Now area of the curved surface is
$2\pi \times \: r \times h = 2 \times \frac{22}{7} \times 14 \times 10 \\ = 880 {m}^{2}$
cost of painting the curved surface is
$\frac{880}{30} = 29.33$