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a cylinder tin,7cm high,is closed at one end.if its total surface area is 462cmsquare,calculate its radius​

Sagot :

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The radius of the cylindrical tin is 7 cm.

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.

The height of the cylindrical tin can is 7 cm, while the total surface area is 462 cm². Therefore, the total surface area of the tin will be,

The total surface area = area of base + Lateral surface area

462 cm² = πR² + 2πRH

462 = π(R² + 2R7)

147 = R² + 14R

R² + 14R - 147 = 0

R = 7, -21

Since the radius can not be negative.

Hence, the radius of the cylindrical tin is 7 cm.

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