What is the volume, in cubic millimeters, of the composite figure? (Round to the nearest hundredth. Use 3.14 for Pi.)V cylinder = pi r squared h. V sphere = four-thirds pi r cubed.

A cylinder and half sphere. Both have a radius of 4 millimeters. The cylinder has a height of 6 millimeters.

Volume of composite is 320.28mm³

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, cylinder and sphere,

to solve the volume of the composite figure

1.Let us solve for the volume of the cylinder

V= πr²h

Given radius r= 4mm

Height h= 6mm

V= 3.14*(4)²*6

V=3.14*16*6

V= 301.44mm³

2. Let us solve for the volume of sphere

V= 4/3πr³

V= 4/3*3.14(4)³

V= 4/3*3.14*9

V= 113.04/3

V= 37.68mm³

But the sphere is half

So V= 37.68/2

V= 18.84mm³

Hence composite volume is

18.84+301.44

Volume = 320.28mm³

answer:

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

explanation:

service only with 20% tip  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

in the opening of the question the word 'service' is associated only with the pretax value.

the closing part of the question asks: how much did she pay for the  

service

−−−−−−  

so technically the answer is  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

however, the intention of the question provider may have been that your answer is to be  

$

87.12

(

1

+

8

100

)

=

$

94.09

to 2 decimal places.

'

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

tony b

mar 21, 2017

answer:

trying to explain it another way

explanation:

service charge  

.

→

$

72.60

20% tip  

20

100

×

$

72.60

=

$

14.52

−−−−−−  

←

add

$

87.12

tax  

8

100

×

$

87.12

=

$

6.97

−−−−−  

←

add

$

94.09

related questions

x = 17

step-by-step explanation:

1st step: isolate x.

24 - 3x = -27

-24         -24

-3x   =   -51

2nd step: divide.

-3x     =   -51

  3             3

  x       =     17

hope this