Question

. The base area of a cylinder is 154 cm2 and its height is 10 cm. Find the curved surface area of the cylinder​

Answer 1

Answer:

Curved surface area = 440 $cm^{2}$

Step-by-step explanation:

According to the information provided in the question it is given as

Base area of a cylinder = 154 cm 2

Height = 10 cm.

We need to find the curved surface area of the cylinder​

The radius 'r' of a cylinder is the radius of its base.

The area of the rectangle = length × breadth.

Circumference of the circle=2πr

Height=h

Hence

Here radius is not given as base of cylinder is circle so first we find the r with the help of area of circle because base area is already given in the question

Area of circle =$\pi r^{2}$

[tex]154=3.14r^{2} \\ r^{2} =\frac{154}{3.14} \\ r^{2} =49 \\ r=\sqrt{49} \\ r=7 cm[/tex]

Area of the curved surface  = 2πr × h

                                              = 2πr h

Substituting the values we get the answer

   [tex]A=2\times \frac{22}{7} \times 7 \times 10\\ A=2\times 22\times 10\\ A= 440 cm^{2} [/tex]

Hence curved surface area of cylinder is  440 $cm^{2}$