Question

Calculate the total surface area of a solid cylinder of radius 3cm and height 4cm.

Answer 1

Given:-

• Radius of cylinder = 3cm

• Heigth of cylinder = 4cm

To find :-

Total surface are of cylinder = ?

Solution:-

Let the radius of cylinder be r and heigth be h

Total surface area of cylinder =2πrh+2πr²

⇒Total surface area of cylinder = 2πr(r+h)

Now,

⇒Total surface area = 2×π× 3 (3+4)

⇒Total surface area = 2×$\frac{22}{7}$×3×7

⇒Total surface area = 2×22×3 = 132cm²

Hope its help uh❤

Answer 2

Answer:

Concept:

A cylinder's total surface area is equal to the sum of all of its faces' surface areas. The cylinder's total surface area—the sum of its curved and circular areas—has a radius of "$r$" and a height of "$h$."

Step-by-step explanation:

Given:

Radius of cylinder , $r = 3 cm$

Height of cylinder , $h=4 cm$

To find:

Total surface area of a solid cylinder

Solution:

• Total Surface Area is equal to $2\pi r(h+r)$  $sq. units$. The entire area that is occupied by the flat surfaces of the cylinder's bases and its curving surface is known as the surface area of a cylinder.

Total surface area= $2 \times \pi \times 3(4+3)$

                              =$2\times\frac{22}{7} \times 21$

                              =$2\times22\times3$

                              =$132$  $sq.units$

Hence, total surface area of cylinder = $132$ $sq.units$                    

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