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Fed [463]
3 years ago
6

A spherical chocolate candy is being manufactured that has nougat center. The entire candy has a diameter of 9cm and the nougat

center has a diameter of 4cm. What is the volume of the chocolate portion of the candy
Mathematics
1 answer:
zhuklara [117]3 years ago
7 0
That would be the volume of the total shape minus the volume of the center.

V=(4πR^3)/3-(4πr^3)/3

V=(4π/3)(R^3-r^3), since R=9/2=4.5 and r=4/2=2 we have:

V=(4π/3)(4.5^3-2^3)

V=(4π/3)(91.125-8)

V=(4π/3)(83.125)

V=332.5π/3 cm^3

V≈348.19 cm^3 (to nearest hundredth of a ml or cubic centimeter)
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If a graph shows the function y=3x what are the coordinates of the intercepts
vladimir2022 [97]

Answer:

graph{3x+5 [-10, 10, -5, 5]}

x

intercept:  

x

=

−

5

3

 

y

intercept:  

y

=

5

Explanation:

For a linear graph, the quickest way to sketch the function is to determine the  

x

and  

y

intercepts and draw a line between the two: this line is our graph.

Let's calculate the  

y

intercept first:

With any function,  

y

intercepts where  

x

=

0

.

Therefore, substituting  

x

=

0

into the equation, we get:

y

=

3

⋅

0

+

5

y

=

5

Therefore, the  

y

intercept cuts through the point (0,5)

Let's calculate the  

x

intercept next:

Recall that with any function:  

y

intercepts where  

x

=

0

.

The opposite is also true: with any function  

x

intercepts where  

y

=

0

.

If we substitute  

y

=

0

, we get:

0

=

3

x

+

5

Let's now rearrange and solve for  

x

to calculate the  

x

intercept.

−

5

=

3

x

 

−

5

3

=

x

Therefore, the  

x

intercept cuts through the point  

(

−

5

3

,

0

)

.

Now we have both the  

x

and  

y

intercepts, all we have to do is essentially plot both intercepts on a set of axis and draw a line between them

The graph of the function  

y

=

3

x

+

5

:

graph{3x+5 [-10, 10, -5, 5]}



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