Question

Find the surface area and volume of the composite figure.

Answer 1

@ganeshie8

Answer 2

What shapes do you see in the given figure ?

Answer 3

cylinder

Answer 4

and ?

Answer 5

A cylinder in the middle

Answer 6

with halfspheres on either side

Answer 7

i forget what its called

Answer 8

half spehere -- cylinder -- half sphere

Answer 9

oh sorry i blanked

Answer 10

That means a full sphere and a cylinder

Answer 11

Whats the radius of the sphere ?

Answer 12

2ft

Answer 13

Can you find the volume ?

Answer 14

of the sphere?

Answer 15

Yes

Answer 16

33.51

Answer 17

Good. Look at the figure again and can you tell me the radius and height of the middle cylinder ?

Answer 18

height would be 5ft would the radius b 4 too?

Answer 19

height is 5
radius is not 4, try again

Answer 20

2? idk im lost

Answer 21

Yes, it is 2.

Answer 22

Cylinder :
radius = 2
height = 5

volume = ?

Answer 23

62.83

Answer 24

Good. Add that to the volume of sphere to get the total volume of the composite figure

Answer 25

96.34

Answer 26

Looks good.

Answer 27

wait, what would be the surface area

Answer 28

You may find it the exact same way

Answer 29

First find the surface area of the sphere

Answer 30

remember the formula for area of the sphere ?

Answer 31

50.27

Answer 32

Good. Next find the "lateral surface area" of the cylinder using the formula :

2*pi*r*h

Answer 33

these are my answer option

Answer 34

62.8

Answer 35

That means they are not approximating the pi

Answer 36

my answers don't add up

Answer 37

Here is the exact volume with out approximating :
http://www.wolframalpha.com/input/?i=4%2F3*pi*2%5E3+%2B+pi*2%5E2*5

Answer 38

so 96.34 is the volume and 62.8 is the surface area

Answer 39

oh alright i see thank you so much. I have one more problem but ill see if someone can help me out because i feel bad bugging you so much:)

Answer 40

I can help you with one more problem, its alright

Answer 41

alright ill tag you :)