Question

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

Answer 1

Answer :

Given - 1. radius (r) of the cylinder is 3 cm.

            2. height (h) is 4 cm.

To Prove -

Find out the Total Surface Area of a Solid Cylinder = ?

Proof -

The total surface area of a solid cylinder is given by the formula :

A = 2πr(r + h)

where r is the radius of the base of the cylinder and h is the height of the cylinder.

In this case, the radius (r) of the cylinder is 3 cm and the height (h) is 4 cm. Therefore, we can substitute these values into the formula and simplify:

A = 2π(3)(3 + 4)

A = 2π(3)(7)

A = 42π

A = 42 X 3.14  -------( π = 3.14 ) - Standard Value

A = 131.88 square cm

Therefore, the total surface area of the solid cylinder is 131.88 square centimeters.

Total Surface Area of the solid cylinder = 131.88 square cm