Question

1. The diameter of the base and the height of a solid
cylinder are 14 cm and 10 cm respectively. Find the
total surface area of the cylinder.​

Answer 1

Answer :

›»› The total surface area of the cylinder is 748 cm².

Given :

• The diameter of the base and the height of a solid cylinder are 14 cm and 10 cm respectively.

To Find :

• The total surface area of the cylinder.

Solution :

Here in this question we have to find the total surface area of the cylinder. So, firstly we need to find the radius of the cylinder after that we will find the total surface area of th cylinder on the basis of conditions given above.

→ Diameter = 14 cm

→ Radius = 14/2

→ Radius = 7 cm

Now,

As we know that

→ TSA of cylinder = 2πr(r + h)

→ TSA of cylinder = 2 * 22/7 * 7(7 + 10)

→ TSA of cylinder = 2 * 22/7 * 7 * 17

→ TSA of cylinder = 2 * 22 * 17

→ TSA of cylinder = 44 * 17

→ TSA of cylinder = 748

║Hence, the total surface area of the cylinder is 748 cm².║

Answer 2

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Total Surface Area of the Cylinder

=> 2πr ( h + r )

=> 2 × 22/7 × 14/2 ( 10 + 7 )

=> 44 ( 17 )

=> 748 cm^2

Hence , the TSA of cylinder is 748 cm^2