17. The figure below shows a cylindrical water
tank with a circular opening at the top of
radius 14cm. What is the surface area of
the tank in m??
π=22/7

Radius-25cm
Height=1.5m

Hey there! I'm happy to help!

BOTTOM CIRCLE

First, let's find the area of the bottom circle. We will use 3.14 for pi.

A=3.14×r²

A=3.14×25²

A=3.14×625

A=1962.5

TOP CIRCLE WITH OPENING

The top circle has the same area as the bottom one but the area of the opening is subtracted from it. Let's find the area of this circular opening with a radius of 14 cm.

A=3.14×14²

A=3.14×196

A=615.44

Now, we subtract this from the area of the 25 cm radius circle.

1962.5-615.44=1347.06

RECTANGLE

A cylinder is made up of a rectangle wrapped around a top and bottom circle. One side of that rectangle is the height of the cylinder and the other side is the circumference of the circle, as the top side of the rectangle wraps completely around the circle.

Let's find the circumference of the circle.

C=3.14×d

Diameter is twice the radius, so diameter is 50 cm.

C=3.14×50

C=157

We multiply this by the height.

157×1.5=235.5

TOTAL SURFACE AREA

We now combine the areas of the bottom circle, top circle with opening, and rectangle to find the surface area.

1962.5+1347.06+235.5=3545.06

Therefore, the surface area of the tank is 3545.06 m².

Have a wonderful day! :D

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