Question

A model of a tank made by child is in the shape of a cylinder of base diameter21 cm and lenght 18 cm filled with conical ends each of 9 cm height find the capacity of tank

Answer 1

cylinder
$21cm - 9 - 18$
fine ans said me

Answer 2

For each conical end :

$\sf{r = \frac{21}{2} cm = 10.5cm,h=9cm}$

For the cylinder:

$\sf{r=10.5cm,H = 18cm}$

Capacity of the tank

= Volume of cylinder + 2 × Volume of a conical end

$\longrightarrow$$\sf{\pi {r}^{2} H+ 2 \times \frac{1}{3} \pi {r}^{2} h = \pi {r}^{2} (H + \frac{2}{3} h)}$

$\longrightarrow$$\sf{ \frac{22}{7} \times \frac{21}{2} \times \frac{21}{2} \times (18 + \frac{2}{3} \times 9)}$

$\longrightarrow$$\sf{\frac{22}{7} \times \frac{21}{7} \times \frac{21}{2} \times 24}$

$\longrightarrow$${\boxed{\sf{\red{8316 {cm}^{2}}}}}$