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Find the surface area and lateral surface area of the cylinder. Round your answers to the nearest tenth.
3 yd
Surface area:

Lateral surface area:

Find The Surface Area And Lateral Surface Area Of The Cylinder Round Your Answers To The Nearest Tenth 3 Yd Surface Area Lateral Surface Area class=

Sagot :

A cylinder is a three-dimensional structure formed by two parallel circular bases. The lateral and the total surface area of the cylinder are 113.1 yd² and 169.7 yd².

What is a cylinder?

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centers overlap each other to form a right cylinder.

Lateral area of the cylinder = Area of the curved surface

                                             = 2πR × H

                                             = 2 × π × 3yd × 6yd

                                             = 36π yd²

                                             = 113.0973 yd² ≈ 113.1 yd²


The total surface area of the cylinder

         = Area of the two bases + Area of the curved surface

         = 2(π × 3²) + 113.0973 yd²

         = 56.54866 yd² + 113.0973 yd²

         = 169.6459 yd² ≈ 169.7yd²

Hence, the lateral and the total surface area of the cylinder are 113.1 yd² and 169.7 yd².

Learn more about Cylinder:

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