Welcome :: Homework Help and Answers :: Mathskey.com
Welcome to Mathskey.com Question & Answers Community. Ask any math/science homework question and receive answers from other members of the community.

13,435 questions

17,804 answers

1,438 comments

130,371 users

Find the area of the surface obtained by revolving the given curve about the indicated axis.?

0 votes

Find the area of the surface obtained by revolving the given curve about the indicated axis.?

y = 9 − x^2 on [0, 3]; y−axis
asked Feb 9, 2015 in CALCULUS by anonymous

1 Answer

0 votes

Step 1 :

The function is image and the interval is image.

For rotation about the y - axis, the surface area formula : image.

The function is image .

Solve for x .

image

The function is image .

Differentiate the curve with respect to y .

image

Evaluating boundaries :

If , then image.

If , then image.

Step 2 :

Substitute corresponding values in image.

The surface area is image.

image

Let image, then image.

Evaluating boundaries :

If image, then image.

If image, then image.

Substitute corresponding values in image.

image

The area of the surface by rotating the curve about the y - axis is 117.32 square units.

Solution :

The area of the surface by rotating the curve about the y - axis is 117.32 square units.

answered Feb 9, 2015 by lilly Expert

Related questions

...