Posted by **Equihua** on Friday, January 4, 2013 at 2:16pm.

A candy company needs a custom box for their truffles. The box they've chose is in the shape of a cylinder with a hemisphere of the same radius on top. The total volume of the box is V= (1/2) ((4pir^2)/(3))+ pir^2 (y-r), where y is the height of the box and r is the radius of the box. Originally, the candy box was designed to have a height of 6 inches and a radius of 2 in, but the shipper suggests that the boxes be made slightly shorter. You now need to adjust the radius so that the height is reduced to 5.75 in. but the volume remains constant.

A.Find the value of dr/dy at the point r=2, y=6.

B.Use your value of dr/dy to approximate the new radius for these boxes.

## Answer this Question

## Related Questions

- math - A company is designing a juice box. The box is in the shape of a ...
- Math - Jason has to sell a box of candy bars for a fundraiser. Yesterday he sold...
- Calc - A hemisphere of radius 5 sits on a horizontal plane. A cylinder stands ...
- mathematics - A can of aerosol deodorant has a cylindrical shape with a ...
- Math - A hemisphere of radius 7 sits on a horizontal plane. A cylinder stands ...
- algebra - Denise is designing a storage box in the shape of a cube. Each side of...
- arithmetic - Denise is designing a storage box in the shape of a cube. Each side...
- Math - Denise is designing a storage box in shape of a cube. Each side of the ...
- Calc- Urgent Please - An open box (has a bottom but no top) needs to be ...
- geometry - denise is designing a stroage box in the shape of a cube. Each side ...

More Related Questions