Math, asked by anshu1815, 4 months ago

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​

Answers

Answered by aruanu1815
2

Answer:

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 ✔

Answered by Anonymous
13

Answer:

Answer:

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 ⤵

{ \boxed{ \sf{Volume = \pi \:  {r}^{2} h}}}

{ \to{5632 =  \frac{22}{7} \times  {8}^{2}   \times h}}

{ \to{5632 =  \frac{22}{7}  \times 64 \times h}}

{  \to{ \frac{5632}{64} =  \frac{22}{7} \times h  }}

{ \to{88 =  \frac{22}{7}  \times h}}

{ \to{88 \times  \frac{7}{22} = h }}

 \to \: h =  \frac{616}{22}

 \to{h = 28}

Therefore, height (depth) of cylinder is 28m

Step-by-step explanation:

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 ✔

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