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.
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.
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