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Question2: A portion of a circle with radius $r$ is rotated around $x$ axis. The portion is from the tip of the circle, $a$ unit towards the centre. ($0 < a < r$). Find the surface area generated

Name: Question2: A portion of a circle with radius r is rotated around x axis. The portion is from the tip of the circle, a unit towards the centre. (0 < a < r). Find the surface area generated
Uploaded: 2023-08-02T04:06:11-08:00
Duration: 1 min 51 s
Channel: Madhur L
Description: Question2: A portion of a circle with radius r is rotated around x axis. The portion is from the tip of the circle, a unit towards the centre. (0 < a < r). Find the surface area generated

          Question2: A portion of a circle with radius $r$ is rotated around $x$ axis. The portion is from the tip of the circle, $a$ unit towards the centre. ($0 < a < r$). Find the surface area generated

Question2: A portion of a circle with radius r is rotated around x axis. The portion is from the tip of the circle, a unit towards the centre. (0 < a < r). Find the surface area generated

Added by Dustin C.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

08/02/2023

Step 1

Step 1: The surface area generated by rotating a portion of a circle around the x-axis can be found using the formula for the surface area of a solid of revolution: \[ S = 2\pi \int_{a}^{r} f(x) \sqrt{1 + (f'(x))^2} dx \] where $ f(x) $ is the function that Show more…

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Find the surface area generated. Question 2: A portion around the x-axis. The portion is from the of the circle a unit towards the centre. 0 < a < r. Find the.