Chef Potato needs to be converted from a two-dimensional shape to a three-dimensional

Question

object and then enlarged to 300% of his original size for an advertising campaign. The three￾dimensional Chef Potato is similar in shape to a capsule made of a half-sphere at the top and a
half-sphere at the bottom and a cylinder in between.

a. Determine the surface area of the enlarged three-dimensional Chef Potato.

b. Determine the volume of the enlarged three-dimensional Chef Potato.

thank you very much for any responses.

Answer 1

so basically the entire figure consists of a cylinder and a sphere.
For volume, that's no problem.
For the area, ignore the ends of the cylinder, which are hidden.

That is, if the cylinder (and sphere) have radius r, and the cylinder has height h, then the volume is

v = 4/3 πr^3 + πr^2h = πr^2 (4/3 r + h)
a = 4πr^2 + 2πrh = 2πr(2r+h)

You have given no actual dimensions, but recall that if the linear size is increased by a factor of 3,
the area grows by a factor of 3^2
the volume grows by a factor of 3^3

Answer 2

thank you very much Steve

Answer 3

thank you Steve