Question

) A tank is made of the shape of a cylinder with a hemispherical depression at one end. The height of the cylinder is 1.45 m and radius is 30cm. The total surface area of the tank is: *​

Answer 1

hope this answer will help you

Answer 2

Step-by-step explanation:

Given: $h= 1.45m$, $r=30cm$

To find: The total surface area of the tank

For calculation of total surface area of the tank,

Let 'r' to be common radius of the cylinder and hemisphere,

And let 'h' be the height of the hollow cylinder

Thus,

⇒$h=30cm$ and

⇒$r= 1.45 m$ × $100 cm$ $= 145 cm$

i. Now, we know that surface area of cylinder is $A=2$π$rh+2$π$r^{2}$

Thus,

⇒ $A= 2$π$rh+2$π$r^{2}$

⇒ $2$π $(h+r)$

⇒$2$ × $\frac{22}{7}$ × $30 (145+ 30) cm^{2}$

⇒ $\frac{44}{7}$ × $30$ × $175cm^{2}$

⇒ $33,000cm^{2}$

ii. In order to convert the surface area into $m^{2}$

We know that $1cm=0.01m$

Thus,

⇒ $33,000cm^{2}$ × $0.01m$

⇒ $3.3m^{2}$

The total surface area of the tank is $3.3m^{2}$.