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Mathematics 17 Online
OpenStudy (volleyballlover55):

help.

OpenStudy (volleyballlover55):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

hint: pythagorean theorem

OpenStudy (volleyballlover55):

ok....um

jimthompson5910 (jim_thompson5910):

first identify a,b and c

OpenStudy (volleyballlover55):

i got 85.79

jimthompson5910 (jim_thompson5910):

what's the longest side?

OpenStudy (volleyballlover55):

65

jimthompson5910 (jim_thompson5910):

so that's c c = 65

jimthompson5910 (jim_thompson5910):

let's make a = 56 and b = x

OpenStudy (volleyballlover55):

ok..

jimthompson5910 (jim_thompson5910):

a^2 + b^2 = c^2 56^2 + x^2 = 65^2 solve for x

OpenStudy (volleyballlover55):

ok

jimthompson5910 (jim_thompson5910):

hopefully it makes sense how I set that up?

OpenStudy (volleyballlover55):

yes i got it.. let me solve

OpenStudy (volleyballlover55):

33!

jimthompson5910 (jim_thompson5910):

good

OpenStudy (volleyballlover55):

next!

jimthompson5910 (jim_thompson5910):

what's the longest side?

OpenStudy (volleyballlover55):

25

jimthompson5910 (jim_thompson5910):

so c = 25

jimthompson5910 (jim_thompson5910):

let's make a = 15 and b = x

OpenStudy (volleyballlover55):

ok...

jimthompson5910 (jim_thompson5910):

do you know how to set up the equation?

OpenStudy (volleyballlover55):

20!!!!

jimthompson5910 (jim_thompson5910):

yep 20

OpenStudy (volleyballlover55):

ok next!

jimthompson5910 (jim_thompson5910):

find the volume of each ------------------------------------ Volume of a Cone \[\Large V = \frac{1}{3}\pi*r^2*h\] ------------------------------------ Volume of Cylinder \[\Large V = \pi*r^2*h\]

OpenStudy (volleyballlover55):

whats the radius and height of each?

jimthompson5910 (jim_thompson5910):

you tell me. It's given in the drawings

OpenStudy (volleyballlover55):

oh ok..

OpenStudy (volleyballlover55):

2 and 3 for cone, and 2 and 7 for cylinder?

jimthompson5910 (jim_thompson5910):

the diameter of the cone is 2, so the radius is _______

OpenStudy (volleyballlover55):

oh um how do i figure out the diameter?

jimthompson5910 (jim_thompson5910):

they show the diameter it's the distance from one edge of the circle to the opposite edge

jimthompson5910 (jim_thompson5910):

|dw:1469242401849:dw|

jimthompson5910 (jim_thompson5910):

|dw:1469242419097:dw|

OpenStudy (volleyballlover55):

3?

jimthompson5910 (jim_thompson5910):

do you see how the diameter is 2?

OpenStudy (volleyballlover55):

oohhhh yes!

jimthompson5910 (jim_thompson5910):

the radius is just half of the diameter

OpenStudy (volleyballlover55):

and so whats the height?

jimthompson5910 (jim_thompson5910):

|dw:1469242560060:dw|

jimthompson5910 (jim_thompson5910):

the diameter of the cone is 2, so the radius is _______

OpenStudy (volleyballlover55):

ok i get it. :)

OpenStudy (volleyballlover55):

4?

jimthompson5910 (jim_thompson5910):

take half of 2

jimthompson5910 (jim_thompson5910):

radius is smaller

OpenStudy (volleyballlover55):

1?

jimthompson5910 (jim_thompson5910):

yes, the radius of the cone is 1

jimthompson5910 (jim_thompson5910):

the radius of the cylinder is also 1

OpenStudy (volleyballlover55):

ok... so for the cone equation, its : V=1/3 *π ∗1^2∗2?

jimthompson5910 (jim_thompson5910):

close, the height of the cone is 3 (not 2)

jimthompson5910 (jim_thompson5910):

look again at the drawing

OpenStudy (volleyballlover55):

oh ok!

OpenStudy (volleyballlover55):

i got 3.14 for the cone equation :)

OpenStudy (volleyballlover55):

whats the height for the cylinder?

jimthompson5910 (jim_thompson5910):

the drawing shows the height, it's the vertical component of the cylinder

OpenStudy (volleyballlover55):

7?

jimthompson5910 (jim_thompson5910):

yes

OpenStudy (volleyballlover55):

ok and the radius is 2 right?

jimthompson5910 (jim_thompson5910):

no that's the diameter, it's the same story as the cone

OpenStudy (volleyballlover55):

oh so 1 is the radius?

jimthompson5910 (jim_thompson5910):

the radius will start at the center and move to the edge

jimthompson5910 (jim_thompson5910):

yes 1 is the radius

OpenStudy (volleyballlover55):

ok so this is the equation? V=π∗1^2∗7?

jimthompson5910 (jim_thompson5910):

yes where pi = 3.14

OpenStudy (volleyballlover55):

ok i got 21.98

jimthompson5910 (jim_thompson5910):

now subtract the volumes

jimthompson5910 (jim_thompson5910):

volume of cone = 3.14 volume of cylinder = 21.98

OpenStudy (volleyballlover55):

21.98-3.14=18.84!

OpenStudy (volleyballlover55):

next!

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