Question

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

Answer 1

Radius (r) = 3 cm
And, Height (h) = 4 cm

Hence, TSA of Cylinder = 2πr(h+r)
                                      = 2π*3(4+3)
                                      = 6π(7)
                                      = 42π cm²

Answer 2

Answer:

Total surface area of a solid cylinder is $42\pi$ $cm^{2}$

Step-by-step explanation:

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. A curved surface area and two flat surface areas make up the cylinder's total surface area.

The space that is covered by the curved surface of a cylinder and the flat surface of its bases is known as the surface area of a cylinder. The cylinder's total surface area includes the area of the curving surface as well as the areas of the two circle-shaped bases of the cylinder. Square units like square centimetres, square inches, square feet, and so on are used to express surface area. A cylinder is a three-dimensional solid object made up of two circular bases joined by a curved face.

Total surface area, TSA$=2\pi r(r+h)$

where r is radius and h is height.

Given: Radius of cylinder, $r =3cm$

Height of cylinder, $h=4cm$

$TSA=2\pi r(r+h)$

Substitute the value of r and h

$TSA=2\pi \times3(3+4)$

$=6\pi(7)\\ =42\pi cm^{2}$

Hence, total surface area of a solid cylinder is $42\pi$ $cm^{2}$

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