Question

The volume of a cylindrical tank is 112.64m³.If the radius of its base is 1.6m,find its height.​

Answer 1

Answer:

The volume of a cylindrical tank is 112.64m³. If the radius of its base is 1.6m, then its height is 14.01 m.​

Step-by-step explanation:

Given: The volume of a cylindrical tank is 112.64m³

The radius of base = 1.6 m

Find the height of the cylindrical tank.

The volume of a cylindrical tank =$\pi r^2h$

$\pi r^2h=112.64\\3.14 \times (1.6)^2 \times h=112.64\\3.14 \times 2.56 \times h=112.64\\8.0384 \times h=112.64\\h= 112.64/8.0384\\h = 14.01 m$

So, the height of the cylindrical tank is 14.01 m.

Answer 2

Given,

• Radius (r) = 1.6 m

• Volume (V) = 112.64 m³

We know the equation:

$\boxed{\sf{Volume \ of \ a \ cylinder=\pi r^2 h}}$

$\sf{\implies 112.64=\dfrac{22}{7}\times (1.6)^2\times h}$

$\sf{\implies 112.64=\dfrac{22}{7}\times 2.56\times h}$

$\sf{\implies h=\dfrac{112.64\times 7}{22\times 2.56}}$

$\sf{\implies h=\dfrac{788.48}{56.32}}$

$\sf{\implies h=14 \ m}$

$\huge{\boxed{\sf{\therefore Height=14 \ m}}}$