Question

3
A cylindrical tank has a capacity of 4620 m3 If the diameter of its base is 14 metre, find its depth​

Answer 1

Answer:

$h$ = 30 m. ans

Step-by-step explanation:

we know the volume of the tank = $\pi r^{2} h$ which is equal to 4620 m^3

here r= 14/2 = 7

let depth = h

put values into the question

so it will be

$\pi 7^{2} h$ = 4620

$h$ = $\frac{4620}{\pi 7^{2} }$ use $\pi = \frac{22}{7}$

$h$ = $\frac{4620.7}{22. 7^{2} }$

$h$ = $\frac{4620}{22. 7 }$

$h$ = $\frac{4620}{154 }$

$h$ = 30 m. ans

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Answer 2

Given :-

• A cylindrical tank has a capacity of 4620 m3 If the diameter of its base is 14 metre

To find :-

• Depth of cylinder

Solution :-

• Capacity of cylinderical tank = 4620m³

• Diameter of cylindrical tank = 14m

• Radius of cylindrical tank = 14/2 = 7m

As we know that

→ Capacity of cylinder = Volume of cylinder = πr²h

Where " r " is radius and " h " is height of cylinder

Now, according to the question

→ Capacity of cylinderical tank = 4620

→ πr²h = 4620

Put the value of radius

→ 22/7 × 7 × 7 × h = 4620

→ 22 × 7 × h = 4620

→ 154 × h = 4620

→ h = 4620/154

→ h = 30m

Hence,

• Height of cylinder is 30m