Question

Find the surface area and volume of the figure shown below. The figure is a cylinder and a circular cone on top of it. The diameter of the cylinder is 9 inches. Its height is 8 inches. And the height of the cone is 3 inches and its slant height is 5.4

Answer 1

the cone will have the same diameter as the cylinder.
area of a cone without the base is slant height times radius times pi...

Answer 2

right...so when I do that, and I add them up, I get 400 something as my answer but the book says its 366in^2? so i am not sure what i am doing wrong. if i walk you through my work will you tell me where i am going wrong?

Answer 3

the base of the cone and one of the ends of the cylinder won't be counted, since they're touching.

Answer 4

oh!

Answer 5

I think thats where I went wrong. Let me check my numbers again.

Answer 6

so s*r*pi + 2pi*r*h +pi*r^2

Answer 7

what is s? the first one?

Answer 8

is that suppose to be a 2?

Answer 9

s is slant height

Answer 10

h is cylinder height.

Answer 11

i see what u did! ok, i understand where i went wrong. ok so now for the volume. do i just need to find the volume of the cylnder and the volume of the cone and add them?

Answer 12

yep:)

Answer 13

awesome! thank u!

Answer 14

sure!