Question

a cylindrical tank has a capacity of 3388 metre cube and its depth is 23 metre . find its diameter.

Answer 1

Answer:

Step-by-step explanation:

volume = \pi {r}^{2} h

so, 3388 = 22/7× r² × 23

r² = 3388×7/ 22×23

r² = 46.86

r =√46.86

r = 6.84m

so, d = 2r

= 2× 6.84

Ans is 13.68m (approx)

Hope you all understand

Answer 2

Given - Volume and depth

Find - Diameter

Solution - Volume of cylindrical tank is calculated by the formula - πr²h. In the formula, r is radius and h is height.

Keep the values in formula to find the diameter.

$3388 = 3.14 \times {r}^{2} \times 23$

Performing multiplication on Right Hand Side

$3388 = {r}^{2} \times 72.22$

Shifting 72.22 to other side of equation and performing division

${r}^{2} = \frac{3388}{72.22}$

${r}^{2} = 46.91$

$r = \sqrt{46.91}$

Taking square root

$r = 6.84 \: m$

Diameter = 2*radius

Diameter = 2*6.84

Performing multiplication

Diameter = 13.69 m

Round off the value

Diameter = 13.7 m

Hence, the diameter of cylindrical tank is 13.7 m