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Question about Calculus: Integration

Subject Math

Math

Source Originais Teachy

Originais Teachy

Topic Calculus: Integration

Calculus: Integration

Difficulty Easy

Easy

(Originais Teachy 2023) - Question Easy of Math

A civil engineer is designing a half-pipe for a skateboard park. The cross section of the half-pipe is modeled by a semi-circle with a radius of 3 meters. The engineer is interested in determining the surface area of the half-pipe to estimate the amount of material needed for the construction. The length of the half-pipe is 30 meters. Using integral calculus, calculate the surface area of the semi-circular half-pipe. Note: use the formula for the circumference of a circle 2πr and the value of π is approximately 3.14.

The surface area of the semi-circular half-pipe is 90π m².

The surface area of the semi-circular half-pipe is 60π m².

The surface area of the semi-circular half-pipe is 120π m².

The surface area of the semi-circular half-pipe is 45π m².

The surface area of the semi-circular half-pipe is 180π m².

Answer sheet:

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