Question

a cylindrical tank has a capacity of 5632 m square to metre square point if the diameter of its base is 16 metre find its depth​

Answer 1

GIVEN :

➡️Diameter of cylinder tank = 16m

➡️Volume of cylinder tank = 5632 m²

FIND :

Depth of cylinder tank???

SOLUTION :

Radius = Diameter /2

Radius = 16/2 = 8

So, Radius of cylinder tank is 8m

We know that ⤵

$VOLUME = \pi r {h}^{2}$

$➡5632 = \frac{22}{7} \times {8}^{2} \times h \\ </p><p>➡ \: \: \: \: \: \: \: \: \: 5632 = \frac{22}{7} \times 64 \times h \\ </p><p> \: \: ➡ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{5632}{64} = \frac{22}{7} \times h \\ ➡ \: \: \: \: \: \: \: \: \: \: \: \: \: \: 88= \frac{22}{7 } \times h \\ ➡ 88 \times \frac{22}{7} = h \\ ➡h= \frac{616}{</p><p>22} \\ ➡h = 28$

$\red{\boxed{Therefore, height (depth) of cylinder is 28m }}$

VERIFICATION :

Volume of cylinder = πr²h

5632 = 22/7 × 8² × 28

5632 = 22/7 × 64 × 28

5632 = 22/7 × 1792

5632 = 39424/7

5632 = 5634

Hence, proved ✔

Answer 2

Answer:

a cylindrical tank has a capacity of 5632 m square to metre square point if the diameter of its base is 16 metre find its depth